164008644975396 has 297 divisors, whose sum is σ = 466414764173841. Its totient is φ = 50439302450784.

The previous prime is 164008644975317. The next prime is 164008644975457. The reversal of 164008644975396 is 693579446800461.

The square root of 164008644975396 is 12806586.

It is a perfect power (a square), and thus also a powerful number.

164008644975396 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 86 + 4 + 4 + 9 + 7 + 539 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24261633872100 + 139747011103296 = 4925610^2 + 11821464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 80912009335 + ... + 80912011361.

Almost surely, 2^{164008644975396} is an apocalyptic number.

164008644975396 is the 12806586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164008644975396

164008644975396 is an abundant number, since it is smaller than the sum of its proper divisors (302406119198445).

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

164008644975396 is an frugal number, since it uses more digits than its factorization.

164008644975396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 164008644975396 in words is "one hundred sixty-four trillion, eight billion, six hundred forty-four million, nine hundred seventy-five thousand, three hundred ninety-six".