164766955643136 has 1296 divisors, whose sum is σ = 614982489593472. Its totient is φ = 41498727874560.

The previous prime is 164766955643123. The next prime is 164766955643209. The reversal of 164766955643136 is 631346559667461.

164766955643136 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 6 + 6 + 9 + 556 + 4 + 31 + 36 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22166948476 + ... + 22166955908.

Almost surely, 2^{164766955643136} is an apocalyptic number.

164766955643136 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 164766955643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307491244796736).

164766955643136 is an abundant number, since it is smaller than the sum of its proper divisors (450215533950336).

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

164766955643136 is a wasteful number, since it uses less digits than its factorization.

164766955643136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 7800 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 72.

The spelling of 164766955643136 in words is "one hundred sixty-four trillion, seven hundred sixty-six billion, nine hundred fifty-five million, six hundred forty-three thousand, one hundred thirty-six".