150507748169856 has 960 divisors, whose sum is σ = 601839398397600. Its totient is φ = 36793314754560.

The previous prime is 150507748169843. The next prime is 150507748169939. The reversal of 150507748169856 is 658961847705051.

150507748169856 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 0 + 7 + 7 + 481 + 6 + 98 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94209855 + ... + 95794113.

Almost surely, 2^{150507748169856} is an apocalyptic number.

150507748169856 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 150507748169856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300919699198800).

150507748169856 is an abundant number, since it is smaller than the sum of its proper divisors (451331650227744).

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

150507748169856 is a wasteful number, since it uses less digits than its factorization.

150507748169856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584327 (or 1584299 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 150507748169856 in words is "one hundred fifty trillion, five hundred seven billion, seven hundred forty-eight million, one hundred sixty-nine thousand, eight hundred fifty-six".