15413160816 has 200 divisors, whose sum is σ = 47640700800. Its totient is φ = 4800176640.

The previous prime is 15413160773. The next prime is 15413160827. The reversal of 15413160816 is 61806131451.

It is a happy number.

15413160816 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 31 + 608 + 16 = 666.

15413160816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1158490 + ... + 1171718.

It is an arithmetic number, because the mean of its divisors is an integer number (238203504).

Almost surely, 2^15413160816 is an apocalyptic number.

15413160816 is a gapful number since it is divisible by the number (16) 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 15413160816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23820350400).

15413160816 is an abundant number, since it is smaller than the sum of its proper divisors (32227539984).

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

15413160816 is a wasteful number, since it uses less digits than its factorization.

15413160816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13309 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 15413160816 in words is "fifteen billion, four hundred thirteen million, one hundred sixty thousand, eight hundred sixteen".