13900334976 has 192 divisors, whose sum is σ = 44566329600. Its totient is φ = 4122424320.

The previous prime is 13900334927. The next prime is 13900334989. The reversal of 13900334976 is 67943300931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583915 + ... + 607253.

It is an arithmetic number, because the mean of its divisors is an integer number (232116300).

Almost surely, 2^13900334976 is an apocalyptic number.

13900334976 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 13900334976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22283164800).

13900334976 is an abundant number, since it is smaller than the sum of its proper divisors (30665994624).

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

13900334976 is a wasteful number, since it uses less digits than its factorization.

13900334976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23417 (or 23402 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 13900334976 in words is "thirteen billion, nine hundred million, three hundred thirty-four thousand, nine hundred seventy-six".