164600638272 has 448 divisors, whose sum is σ = 590164326400. Its totient is φ = 43938754560.

The previous prime is 164600638271. The next prime is 164600638277. The reversal of 164600638272 is 272836006461.

164600638272 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 0 + 0 + 638 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×164600638272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164600638271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16772247 + ... + 16782057.

Almost surely, 2^164600638272 is an apocalyptic number.

164600638272 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 164600638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295082163200).

164600638272 is an abundant number, since it is smaller than the sum of its proper divisors (425563688128).

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

164600638272 is a wasteful number, since it uses less digits than its factorization.

164600638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931 (or 9915 counting only the distinct ones).

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

The spelling of 164600638272 in words is "one hundred sixty-four billion, six hundred million, six hundred thirty-eight thousand, two hundred seventy-two".