13314973392 has 240 divisors, whose sum is σ = 43773924480. Its totient is φ = 3699053568.

The previous prime is 13314973391. The next prime is 13314973403. The reversal of 13314973392 is 29337941331.

13314973392 is a `hidden beast` number, since 13 + 31 + 497 + 33 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314973391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12005734 + ... + 12006842.

It is an arithmetic number, because the mean of its divisors is an integer number (182391352).

Almost surely, 2^13314973392 is an apocalyptic number.

13314973392 is a gapful number since it is divisible by the number (12) 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 13314973392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21886962240).

13314973392 is an abundant number, since it is smaller than the sum of its proper divisors (30458951088).

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

13314973392 is a wasteful number, since it uses less digits than its factorization.

13314973392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1441 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The spelling of 13314973392 in words is "thirteen billion, three hundred fourteen million, nine hundred seventy-three thousand, three hundred ninety-two".