13792149504 has 512 divisors, whose sum is σ = 49827571200. Its totient is φ = 3680501760.

The previous prime is 13792149499. The next prime is 13792149529. The reversal of 13792149504 is 40594129731.

13792149504 is a `hidden beast` number, since 13 + 7 + 92 + 1 + 49 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 13792149504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105283519 + ... + 105283649.

It is an arithmetic number, because the mean of its divisors is an integer number (97319475).

Almost surely, 2^13792149504 is an apocalyptic number.

13792149504 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 13792149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24913785600).

13792149504 is an abundant number, since it is smaller than the sum of its proper divisors (36035421696).

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

13792149504 is an equidigital number, since it uses as much as digits as its factorization.

13792149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13792149504 in words is "thirteen billion, seven hundred ninety-two million, one hundred forty-nine thousand, five hundred four".