172252459008 has 832 divisors, whose sum is σ = 613845335040. Its totient is φ = 47297986560.

The previous prime is 172252458997. The next prime is 172252459019. The reversal of 172252459008 is 800954252271.

172252459008 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 52 + 4 + 590 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (172252458997) and next prime (172252459019).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2570932191 + ... + 2570932257.

Almost surely, 2^172252459008 is an apocalyptic number.

172252459008 is a gapful number since it is divisible by the number (18) 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 172252459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306922667520).

172252459008 is an abundant number, since it is smaller than the sum of its proper divisors (441592876032).

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

172252459008 is an frugal number, since it uses more digits than its factorization.

172252459008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 172252459008 in words is "one hundred seventy-two billion, two hundred fifty-two million, four hundred fifty-nine thousand, eight".