13768445831800 has 96 divisors (see below), whose sum is σ = 36125984998800. Its totient is φ = 4834062464000.

The previous prime is 13768445831783. The next prime is 13768445831821. The reversal of 13768445831800 is 813854486731.

13768445831800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (58).

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, 107839381 + ... + 107966980.

Almost surely, 2^{13768445831800} is an apocalyptic number.

13768445831800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768445831800 is an abundant number, since it is smaller than the sum of its proper divisors (22357539167000).

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

13768445831800 is a wasteful number, since it uses less digits than its factorization.

13768445831800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215806417 (or 215806408 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 13768445831800 in words is "thirteen trillion, seven hundred sixty-eight billion, four hundred forty-five million, eight hundred thirty-one thousand, eight hundred".