152304009984 has 108 divisors (see below), whose sum is σ = 501862919376. Its totient is φ = 43515426816.

The previous prime is 152304009959. The next prime is 152304010009. The reversal of 152304009984 is 489900403251.

152304009984 is a `hidden beast` number, since 1 + 5 + 230 + 400 + 9 + 9 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (152304009959) and next prime (152304010009).

It is a super-2 number, since 2×152304009984² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4705599 + ... + 4737854.

Almost surely, 2^152304009984 is an apocalyptic number.

152304009984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152304009984 is an abundant number, since it is smaller than the sum of its proper divisors (349558909392).

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

152304009984 is an equidigital number, since it uses as much as digits as its factorization.

152304009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443482 (or 9443465 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 152304009984 in words is "one hundred fifty-two billion, three hundred four million, nine thousand, nine hundred eighty-four".