13956741792 has 288 divisors, whose sum is σ = 46230912000. Its totient is φ = 3911860224.

The previous prime is 13956741763. The next prime is 13956741809. The reversal of 13956741792 is 29714765931.

13956741792 is a `hidden beast` number, since 1 + 3 + 9 + 567 + 4 + 1 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29137009 + ... + 29137487.

It is an arithmetic number, because the mean of its divisors is an integer number (160524000).

Almost surely, 2^13956741792 is an apocalyptic number.

13956741792 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 13956741792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456000).

13956741792 is an abundant number, since it is smaller than the sum of its proper divisors (32274170208).

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

13956741792 is a wasteful number, since it uses less digits than its factorization.

13956741792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 737 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 13956741792 in words is "thirteen billion, nine hundred fifty-six million, seven hundred forty-one thousand, seven hundred ninety-two".