15313362768 has 160 divisors (see below), whose sum is σ = 49604860800. Its totient is φ = 4480358400.

The previous prime is 15313362767. The next prime is 15313362787. The reversal of 15313362768 is 86726331351.

15313362768 is a `hidden beast` number, since 1 + 5 + 3 + 13 + 3 + 627 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15313362767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82248 + ... + 193368.

It is an arithmetic number, because the mean of its divisors is an integer number (310030380).

Almost surely, 2^15313362768 is an apocalyptic number.

15313362768 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 15313362768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24802430400).

15313362768 is an abundant number, since it is smaller than the sum of its proper divisors (34291498032).

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

15313362768 is a wasteful number, since it uses less digits than its factorization.

15313362768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111178 (or 111166 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 15313362768 in words is "fifteen billion, three hundred thirteen million, three hundred sixty-two thousand, seven hundred sixty-eight".