150117574656 has 768 divisors, whose sum is σ = 516276633600. Its totient is φ = 37786484736.

The previous prime is 150117574637. The next prime is 150117574661. The reversal of 150117574656 is 656475711051.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328474056 + ... + 1328474168.

It is an arithmetic number, because the mean of its divisors is an integer number (672235200).

Almost surely, 2^150117574656 is an apocalyptic number.

150117574656 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 150117574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258138316800).

150117574656 is an abundant number, since it is smaller than the sum of its proper divisors (366159058944).

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

150117574656 is a wasteful number, since it uses less digits than its factorization.

150117574656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 150117574656 in words is "one hundred fifty billion, one hundred seventeen million, five hundred seventy-four thousand, six hundred fifty-six".