13696954516224 has 432 divisors, whose sum is σ = 47162459984640. Its totient is φ = 3883526000640.

The previous prime is 13696954516207. The next prime is 13696954516243. The reversal of 13696954516224 is 42261545969631.

13696954516224 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 6 + 9 + 545 + 1 + 62 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56924682 + ... + 57164790.

Almost surely, 2^{13696954516224} is an apocalyptic number.

13696954516224 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 13696954516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23581229992320).

13696954516224 is an abundant number, since it is smaller than the sum of its proper divisors (33465505468416).

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

13696954516224 is an equidigital number, since it uses as much as digits as its factorization.

13696954516224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240278 (or 240252 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 13696954516224 in words is "thirteen trillion, six hundred ninety-six billion, nine hundred fifty-four million, five hundred sixteen thousand, two hundred twenty-four".