13966368000 has 864 divisors, whose sum is σ = 54426258432. Its totient is φ = 3151872000.

The previous prime is 13966367999. The next prime is 13966368011. The reversal of 13966368000 is 86366931.

It is a super-2 number, since 2×13966368000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450527985 + ... + 450528015.

Almost surely, 2^13966368000 is an apocalyptic number.

13966368000 is a gapful number since it is divisible by the number (10) 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 13966368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27213129216).

13966368000 is an abundant number, since it is smaller than the sum of its proper divisors (40459890432).

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

13966368000 is a wasteful number, since it uses less digits than its factorization.

13966368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 13966368000 in words is "thirteen billion, nine hundred sixty-six million, three hundred sixty-eight thousand".