150016491795456 has 1056 divisors, whose sum is σ = 515083026931200. Its totient is φ = 41454933442560.

The previous prime is 150016491795433. The next prime is 150016491795481. The reversal of 150016491795456 is 654597194610051.

150016491795456 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 1 + 6 + 4 + 9 + 179 + 5 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×150016491795456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150016491795393 and 150016491795402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59084871435 + ... + 59084873973.

Almost surely, 2^{150016491795456} is an apocalyptic number.

150016491795456 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 150016491795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257541513465600).

150016491795456 is an abundant number, since it is smaller than the sum of its proper divisors (365066535135744).

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

150016491795456 is a wasteful number, since it uses less digits than its factorization.

150016491795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 150016491795456 in words is "one hundred fifty trillion, sixteen billion, four hundred ninety-one million, seven hundred ninety-five thousand, four hundred fifty-six".