164372858496 has 768 divisors, whose sum is σ = 614572358400. Its totient is φ = 42334617600.

The previous prime is 164372858477. The next prime is 164372858513. The reversal of 164372858496 is 694858273461.

164372858496 is a `hidden beast` number, since 1 + 6 + 43 + 7 + 2 + 8 + 584 + 9 + 6 = 666.

It is a super-2 number, since 2×164372858496² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682044936 + ... + 682045176.

It is an arithmetic number, because the mean of its divisors is an integer number (800224425).

Almost surely, 2^164372858496 is an apocalyptic number.

164372858496 is a gapful number since it is divisible by the number (16) 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 164372858496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307286179200).

164372858496 is an abundant number, since it is smaller than the sum of its proper divisors (450199499904).

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

164372858496 is a wasteful number, since it uses less digits than its factorization.

164372858496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 164372858496 in words is "one hundred sixty-four billion, three hundred seventy-two million, eight hundred fifty-eight thousand, four hundred ninety-six".