13962956904 has 224 divisors, whose sum is σ = 43265486880. Its totient is φ = 4195400832.

The previous prime is 13962956897. The next prime is 13962956923. The reversal of 13962956904 is 40965926931.

13962956904 is a `hidden beast` number, since 1 + 3 + 9 + 629 + 5 + 6 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×13962956904² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 3257947 + ... + 3262229.

It is an arithmetic number, because the mean of its divisors is an integer number (193149495).

Almost surely, 2^13962956904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13962956904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632743440).

13962956904 is an abundant number, since it is smaller than the sum of its proper divisors (29302529976).

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

13962956904 is a wasteful number, since it uses less digits than its factorization.

13962956904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 13962956904 in words is "thirteen billion, nine hundred sixty-two million, nine hundred fifty-six thousand, nine hundred four".