164725097472 has 352 divisors, whose sum is σ = 556286169600. Its totient is φ = 47701426176.

The previous prime is 164725097437. The next prime is 164725097497. The reversal of 164725097472 is 274790527461.

164725097472 is a `hidden beast` number, since 1 + 64 + 7 + 2 + 509 + 7 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6096729 + ... + 6123687.

Almost surely, 2^164725097472 is an apocalyptic number.

164725097472 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 164725097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278143084800).

164725097472 is an abundant number, since it is smaller than the sum of its proper divisors (391561072128).

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

164725097472 is a wasteful number, since it uses less digits than its factorization.

164725097472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27018 (or 26994 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 164725097472 in words is "one hundred sixty-four billion, seven hundred twenty-five million, ninety-seven thousand, four hundred seventy-two".