165500006656656 has 320 divisors, whose sum is σ = 510904600012800. Its totient is φ = 45166450065408.

The previous prime is 165500006656631. The next prime is 165500006656667. The reversal of 165500006656656 is 656656600005561.

It is a super-2 number, since 2×165500006656656² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165500006656596 and 165500006656605.

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, 383083840 + ... + 383515616.

It is an arithmetic number, because the mean of its divisors is an integer number (1596576875040).

Almost surely, 2^{165500006656656} is an apocalyptic number.

165500006656656 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 165500006656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255452300006400).

165500006656656 is an abundant number, since it is smaller than the sum of its proper divisors (345404593356144).

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

165500006656656 is a wasteful number, since it uses less digits than its factorization.

165500006656656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432246 (or 432240 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 57.

The spelling of 165500006656656 in words is "one hundred sixty-five trillion, five hundred billion, six million, six hundred fifty-six thousand, six hundred fifty-six".