13408923564288 has 648 divisors, whose sum is σ = 47894924604800. Its totient is φ = 3605699543040.

The previous prime is 13408923564181. The next prime is 13408923564293. The reversal of 13408923564288 is 88246532980431.

13408923564288 is a `hidden beast` number, since 1 + 3 + 40 + 8 + 9 + 2 + 3 + 564 + 28 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228359253 + ... + 228417963.

Almost surely, 2^{13408923564288} is an apocalyptic number.

13408923564288 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 13408923564288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23947462302400).

13408923564288 is an abundant number, since it is smaller than the sum of its proper divisors (34486001040512).

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

13408923564288 is an equidigital number, since it uses as much as digits as its factorization.

13408923564288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58788 (or 58740 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 13408923564288 in words is "thirteen trillion, four hundred eight billion, nine hundred twenty-three million, five hundred sixty-four thousand, two hundred eighty-eight".