13956956640 has 384 divisors, whose sum is σ = 53698982400. Its totient is φ = 3357573120.

The previous prime is 13956956627. The next prime is 13956956653. The reversal of 13956956640 is 4665965931.

13956956640 is a `hidden beast` number, since 1 + 39 + 5 + 6 + 9 + 566 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13956956627) and next prime (13956956653).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6604224 + ... + 6606336.

It is an arithmetic number, because the mean of its divisors is an integer number (139841100).

Almost surely, 2^13956956640 is an apocalyptic number.

13956956640 is a gapful number since it is divisible by the number (10) 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 13956956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26849491200).

13956956640 is an abundant number, since it is smaller than the sum of its proper divisors (39742025760).

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

13956956640 is a wasteful number, since it uses less digits than its factorization.

13956956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 13956956640 in words is "thirteen billion, nine hundred fifty-six million, nine hundred fifty-six thousand, six hundred forty".