13888992000 has 576 divisors, whose sum is σ = 51426385920. Its totient is φ = 3299328000.

The previous prime is 13888991971. The next prime is 13888992017. The reversal of 13888992000 is 29988831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38687821 + ... + 38688179.

It is an arithmetic number, because the mean of its divisors is an integer number (89281920).

Almost surely, 2^13888992000 is an apocalyptic number.

13888992000 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 13888992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25713192960).

13888992000 is an abundant number, since it is smaller than the sum of its proper divisors (37537393920).

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

13888992000 is a wasteful number, since it uses less digits than its factorization.

13888992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 13888992000 in words is "thirteen billion, eight hundred eighty-eight million, nine hundred ninety-two thousand".