164121925976064 has 459 divisors, whose sum is σ = 551766324114603. Its totient is φ = 46872301142016.

The previous prime is 164121925976059. The next prime is 164121925976131. The reversal of 164121925976064 is 460679529121461.

The square root of 164121925976064 is 12811008.

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

164121925976064 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 2 + 19 + 2 + 5 + 9 + 7 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 164121925975992 and 164121925976010.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68871977817 + ... + 68871980199.

Almost surely, 2^{164121925976064} is an apocalyptic number.

164121925976064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

164121925976064 is the 12811008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164121925976064

164121925976064 is an abundant number, since it is smaller than the sum of its proper divisors (387644398138539).

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

164121925976064 is an frugal number, since it uses more digits than its factorization.

164121925976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 164121925976064 in words is "one hundred sixty-four trillion, one hundred twenty-one billion, nine hundred twenty-five million, nine hundred seventy-six thousand, sixty-four".