13956655104 has 720 divisors, whose sum is σ = 51854542740. Its totient is φ = 3715891200.

The previous prime is 13956655081. The next prime is 13956655117. The reversal of 13956655104 is 40155665931.

13956655104 is a `hidden beast` number, since 1 + 3 + 95 + 6 + 6 + 551 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11416495104 + 2540160000 = 106848^2 + 50400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13956655104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 138184654 + ... + 138184754.

Almost surely, 2^13956655104 is an apocalyptic number.

13956655104 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 13956655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25927271370).

13956655104 is an abundant number, since it is smaller than the sum of its proper divisors (37897887636).

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

13956655104 is a wasteful number, since it uses less digits than its factorization.

13956655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 13956655104 in words is "thirteen billion, nine hundred fifty-six million, six hundred fifty-five thousand, one hundred four".