165556030464 has 352 divisors, whose sum is σ = 545014241280. Its totient is φ = 49217126400.

The previous prime is 165556030373. The next prime is 165556030477. The reversal of 165556030464 is 464030655561.

165556030464 is a `hidden beast` number, since 1 + 6 + 5 + 556 + 0 + 30 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16113649 + ... + 16123919.

Almost surely, 2^165556030464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165556030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272507120640).

165556030464 is an abundant number, since it is smaller than the sum of its proper divisors (379458210816).

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

165556030464 is a wasteful number, since it uses less digits than its factorization.

165556030464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 165556030464 in words is "one hundred sixty-five billion, five hundred fifty-six million, thirty thousand, four hundred sixty-four".