13891955976 has 128 divisors (see below), whose sum is σ = 39283200000. Its totient is φ = 4547949120.

The previous prime is 13891955969. The next prime is 13891956007. The reversal of 13891955976 is 67955919831.

13891955976 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 1 + 9 + 559 + 76 = 666.

It is a super-2 number, since 2×13891955976² (a number of 21 digits) contains 22 as substring.

Its product of digits (18370800) is a multiple of the sum of its prime divisors (4374).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3393691 + ... + 3397781.

It is an arithmetic number, because the mean of its divisors is an integer number (306900000).

Almost surely, 2^13891955976 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 13891955976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600000).

13891955976 is an abundant number, since it is smaller than the sum of its proper divisors (25391244024).

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

13891955976 is a wasteful number, since it uses less digits than its factorization.

13891955976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4374 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 63.

The spelling of 13891955976 in words is "thirteen billion, eight hundred ninety-one million, nine hundred fifty-five thousand, nine hundred seventy-six".