164500493472 has 432 divisors, whose sum is σ = 582206100840. Its totient is φ = 43773198336.

The previous prime is 164500493449. The next prime is 164500493477. The reversal of 164500493472 is 274394005461.

164500493472 is a `hidden beast` number, since 1 + 6 + 4 + 500 + 49 + 34 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145499525136 + 19000968336 = 381444^2 + 137844^2 .

It is a super-2 number, since 2×164500493472² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164500493477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23267154 + ... + 23274222.

Almost surely, 2^164500493472 is an apocalyptic number.

164500493472 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 164500493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291103050420).

164500493472 is an abundant number, since it is smaller than the sum of its proper divisors (417705607368).

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

164500493472 is a wasteful number, since it uses less digits than its factorization.

164500493472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7195 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 164500493472 in words is "one hundred sixty-four billion, five hundred million, four hundred ninety-three thousand, four hundred seventy-two".