13968396288 has 936 divisors, whose sum is σ = 55354122720. Its totient is φ = 3344302080.

The previous prime is 13968396263. The next prime is 13968396293. The reversal of 13968396288 is 88269386931.

13968396288 is a `hidden beast` number, since 1 + 396 + 83 + 96 + 2 + 88 = 666.

It is a super-2 number, since 2×13968396288² (a number of 21 digits) contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 377524206 + ... + 377524242.

It is an arithmetic number, because the mean of its divisors is an integer number (59139020).

Almost surely, 2^13968396288 is an apocalyptic number.

13968396288 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 13968396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27677061360).

13968396288 is an abundant number, since it is smaller than the sum of its proper divisors (41385726432).

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

13968396288 is a wasteful number, since it uses less digits than its factorization.

13968396288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 13968396288 in words is "thirteen billion, nine hundred sixty-eight million, three hundred ninety-six thousand, two hundred eighty-eight".