14813115408 has 800 divisors, whose sum is σ = 56785698816. Its totient is φ = 3621252096.

The previous prime is 14813115391. The next prime is 14813115433. The reversal of 14813115408 is 80451131841.

14813115408 is a `hidden beast` number, since 1 + 4 + 81 + 31 + 1 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116638641 + ... + 116638767.

Almost surely, 2^14813115408 is an apocalyptic number.

14813115408 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 14813115408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28392849408).

14813115408 is an abundant number, since it is smaller than the sum of its proper divisors (41972583408).

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

14813115408 is a wasteful number, since it uses less digits than its factorization.

14813115408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 14813115408 in words is "fourteen billion, eight hundred thirteen million, one hundred fifteen thousand, four hundred eight".