15813802368 has 768 divisors, whose sum is σ = 60046371840. Its totient is φ = 4031078400.

The previous prime is 15813802363. The next prime is 15813802379. The reversal of 15813802368 is 86320831851.

15813802368 is a `hidden beast` number, since 1 + 581 + 3 + 8 + 0 + 2 + 3 + 68 = 666.

15813802368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15813802363) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 104727093 + ... + 104727243.

It is an arithmetic number, because the mean of its divisors is an integer number (78185380).

Almost surely, 2^15813802368 is an apocalyptic number.

15813802368 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 15813802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30023185920).

15813802368 is an abundant number, since it is smaller than the sum of its proper divisors (44232569472).

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

15813802368 is a wasteful number, since it uses less digits than its factorization.

15813802368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 15813802368 in words is "fifteen billion, eight hundred thirteen million, eight hundred two thousand, three hundred sixty-eight".