164081753113600 has 297 divisors, whose sum is σ = 473169354122943. Its totient is φ = 56251682242560.

The previous prime is 164081753113589. The next prime is 164081753113627. The reversal of 164081753113600 is 6311357180461.

The square root of 164081753113600 is 12809440.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19368167261184 + 144713585852416 = 4400928^2 + 12029696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14346567082 + ... + 14346578518.

Almost surely, 2^{164081753113600} is an apocalyptic number.

164081753113600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164081753113600 is the 12809440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164081753113600

164081753113600 is an abundant number, since it is smaller than the sum of its proper divisors (309087601009343).

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

164081753113600 is an frugal number, since it uses more digits than its factorization.

164081753113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22918 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 164081753113600 in words is "one hundred sixty-four trillion, eighty-one billion, seven hundred fifty-three million, one hundred thirteen thousand, six hundred".