13692478464 has 396 divisors, whose sum is σ = 47737579344. Its totient is φ = 3908653056.

The previous prime is 13692478391. The next prime is 13692478477. The reversal of 13692478464 is 46487429631.

13692478464 is a `hidden beast` number, since 136 + 9 + 2 + 47 + 8 + 464 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13692478464.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12192207 + ... + 12193329.

Almost surely, 2^13692478464 is an apocalyptic number.

13692478464 is a gapful number since it is divisible by the number (14) 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 13692478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868789672).

13692478464 is an abundant number, since it is smaller than the sum of its proper divisors (34045100880).

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

13692478464 is an equidigital number, since it uses as much as digits as its factorization.

13692478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1135 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 13692478464 in words is "thirteen billion, six hundred ninety-two million, four hundred seventy-eight thousand, four hundred sixty-four".