13934056752 has 400 divisors, whose sum is σ = 52934112000. Its totient is φ = 3428282880.

The previous prime is 13934056723. The next prime is 13934056769. The reversal of 13934056752 is 25765043931.

13934056752 is a `hidden beast` number, since 1 + 3 + 9 + 34 + 0 + 567 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13934056698 and 13934056707.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1892374 + ... + 1899722.

It is an arithmetic number, because the mean of its divisors is an integer number (132335280).

Almost surely, 2^13934056752 is an apocalyptic number.

13934056752 is a gapful number since it is divisible by the number (12) 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 13934056752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467056000).

13934056752 is an abundant number, since it is smaller than the sum of its proper divisors (39000055248).

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

13934056752 is a wasteful number, since it uses less digits than its factorization.

13934056752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13934056752 in words is "thirteen billion, nine hundred thirty-four million, fifty-six thousand, seven hundred fifty-two".