151716610656 has 504 divisors, whose sum is σ = 502031688480. Its totient is φ = 45038343168.

The previous prime is 151716610631. The next prime is 151716610679. The reversal of 151716610656 is 656016617151.

151716610656 is a `hidden beast` number, since 1 + 5 + 17 + 16 + 610 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 114329865 + ... + 114331191.

It is an arithmetic number, because the mean of its divisors is an integer number (996094620).

Almost surely, 2^151716610656 is an apocalyptic number.

151716610656 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 151716610656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251015844240).

151716610656 is an abundant number, since it is smaller than the sum of its proper divisors (350315077824).

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

151716610656 is a wasteful number, since it uses less digits than its factorization.

151716610656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 151716610656 in words is "one hundred fifty-one billion, seven hundred sixteen million, six hundred ten thousand, six hundred fifty-six".