150209768307456 has 2304 divisors, whose sum is σ = 562759930091520. Its totient is φ = 38821932564480.

The previous prime is 150209768307451. The next prime is 150209768307539. The reversal of 150209768307456 is 654703867902051.

150209768307456 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 0 + 97 + 68 + 30 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×150209768307456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150209768307393 and 150209768307402.

It is not an unprimeable number, because it can be changed into a prime (150209768307451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 255893983195 + ... + 255893983781.

It is an arithmetic number, because the mean of its divisors is an integer number (244253441880).

It is a 1-persistent number, because it is pandigital, but 2⋅150209768307456 = 300419536614912 is not.

Almost surely, 2^{150209768307456} is an apocalyptic number.

150209768307456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150209768307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281379965045760).

150209768307456 is an abundant number, since it is smaller than the sum of its proper divisors (412550161784064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150209768307456 is a wasteful number, since it uses less digits than its factorization.

150209768307456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 150209768307456 in words is "one hundred fifty trillion, two hundred nine billion, seven hundred sixty-eight million, three hundred seven thousand, four hundred fifty-six".