13911214968 has 128 divisors (see below), whose sum is σ = 44208115200. Its totient is φ = 3970536192.

The previous prime is 13911214927. The next prime is 13911214979. The reversal of 13911214968 is 86941211931.

13911214968 is a `hidden beast` number, since 1 + 39 + 1 + 121 + 496 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1654471 + ... + 1662857.

It is an arithmetic number, because the mean of its divisors is an integer number (345375900).

Almost surely, 2^13911214968 is an apocalyptic number.

13911214968 is a gapful number since it is divisible by the number (18) 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 13911214968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104057600).

13911214968 is an abundant number, since it is smaller than the sum of its proper divisors (30296900232).

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

13911214968 is a wasteful number, since it uses less digits than its factorization.

13911214968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9506 (or 9496 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 13911214968 in words is "thirteen billion, nine hundred eleven million, two hundred fourteen thousand, nine hundred sixty-eight".