151564974056496 has 2880 divisors, whose sum is σ = 615979068816384. Its totient is φ = 35086237655040.

The previous prime is 151564974056473. The next prime is 151564974056497. The reversal of 151564974056496 is 694650479465151.

151564974056496 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 6 + 4 + 97 + 40 + 5 + 6 + 496 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (151564974056497) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 152021036670 + ... + 152021037666.

Almost surely, 2^{151564974056496} is an apocalyptic number.

151564974056496 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 151564974056496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307989534408192).

151564974056496 is an abundant number, since it is smaller than the sum of its proper divisors (464414094759888).

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

151564974056496 is a wasteful number, since it uses less digits than its factorization.

151564974056496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 151564974056496 in words is "one hundred fifty-one trillion, five hundred sixty-four billion, nine hundred seventy-four million, fifty-six thousand, four hundred ninety-six".