13965566976 has 99 divisors (see below), whose sum is σ = 40358056323. Its totient is φ = 4651407360.

The previous prime is 13965566971. The next prime is 13965567013. The reversal of 13965566976 is 67966556931.

The square root of 13965566976 is 118176.

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

13965566976 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 556 + 6 + 9 + 76 = 666.

It is a super-2 number, since 2×13965566976² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13965566971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11344281 + ... + 11345511.

Almost surely, 2^13965566976 is an apocalyptic number.

13965566976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13965566976 is the 118176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13965566976

13965566976 is an abundant number, since it is smaller than the sum of its proper divisors (26392489347).

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

13965566976 is an frugal number, since it uses more digits than its factorization.

13965566976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 1236 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 13965566976 in words is "thirteen billion, nine hundred sixty-five million, five hundred sixty-six thousand, nine hundred seventy-six".