164272914432 has 720 divisors, whose sum is σ = 558764903424. Its totient is φ = 48173875200.

The previous prime is 164272914431. The next prime is 164272914457. The reversal of 164272914432 is 234419272461.

164272914432 is a `hidden beast` number, since 1 + 64 + 2 + 72 + 91 + 4 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164272914431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5299126257 + ... + 5299126287.

Almost surely, 2^164272914432 is an apocalyptic number.

164272914432 is a gapful number since it is divisible by the number (12) 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 164272914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279382451712).

164272914432 is an abundant number, since it is smaller than the sum of its proper divisors (394491988992).

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

164272914432 is an frugal number, since it uses more digits than its factorization.

164272914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 164272914432 in words is "one hundred sixty-four billion, two hundred seventy-two million, nine hundred fourteen thousand, four hundred thirty-two".