13964692896 has 576 divisors, whose sum is σ = 52148468736. Its totient is φ = 3570739200.

The previous prime is 13964692883. The next prime is 13964692897. The reversal of 13964692896 is 69829646931.

13964692896 is a `hidden beast` number, since 1 + 3 + 96 + 469 + 2 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (13964692897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49696276 + ... + 49696556.

It is an arithmetic number, because the mean of its divisors is an integer number (90535536).

Almost surely, 2^13964692896 is an apocalyptic number.

13964692896 is a gapful number since it is divisible by the number (16) 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 13964692896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26074234368).

13964692896 is an abundant number, since it is smaller than the sum of its proper divisors (38183775840).

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

13964692896 is a wasteful number, since it uses less digits than its factorization.

13964692896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 13964692896 in words is "thirteen billion, nine hundred sixty-four million, six hundred ninety-two thousand, eight hundred ninety-six".