13976914176 has 135 divisors (see below), whose sum is σ = 41727454153. Its totient is φ = 4653296640.

The previous prime is 13976914139. The next prime is 13976914177. The reversal of 13976914176 is 67141967931.

The square root of 13976914176 is 118224.

It is a perfect power (a square), and thus also a powerful number.

13976914176 is a `hidden beast` number, since 139 + 7 + 6 + 91 + 417 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3816274176 + 10160640000 = 61776^2 + 100800^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13976914177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17023846 + ... + 17024666.

Almost surely, 2^13976914176 is an apocalyptic number.

13976914176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13976914176 is the 118224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13976914176

13976914176 is an abundant number, since it is smaller than the sum of its proper divisors (27750539977).

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

13976914176 is an frugal number, since it uses more digits than its factorization.

13976914176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 826 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The spelling of 13976914176 in words is "thirteen billion, nine hundred seventy-six million, nine hundred fourteen thousand, one hundred seventy-six".