13315978368 has 384 divisors, whose sum is σ = 49380240000. Its totient is φ = 3457935360.

The previous prime is 13315978349. The next prime is 13315978427. The reversal of 13315978368 is 86387951331.

13315978368 is a `hidden beast` number, since 13 + 3 + 1 + 597 + 8 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×13315978368³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2924958 + ... + 2929506.

It is an arithmetic number, because the mean of its divisors is an integer number (128594375).

Almost surely, 2^13315978368 is an apocalyptic number.

13315978368 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 13315978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24690120000).

13315978368 is an abundant number, since it is smaller than the sum of its proper divisors (36064261632).

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

13315978368 is a wasteful number, since it uses less digits than its factorization.

13315978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4572 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 13315978368 in words is "thirteen billion, three hundred fifteen million, nine hundred seventy-eight thousand, three hundred sixty-eight".