13768423011900 has 108 divisors (see below), whose sum is σ = 43164935704800. Its totient is φ = 3670849628160.

The previous prime is 13768423011887. The next prime is 13768423011989. The reversal of 13768423011900 is 911032486731.

13768423011900 is a `hidden beast` number, since 1 + 37 + 6 + 8 + 423 + 0 + 1 + 190 + 0 = 666.

It is a super-3 number, since 3×13768423011900³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3017116 + ... + 6053084.

It is an arithmetic number, because the mean of its divisors is an integer number (399675330600).

Almost surely, 2^{13768423011900} is an apocalyptic number.

13768423011900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768423011900 is an abundant number, since it is smaller than the sum of its proper divisors (29396512692900).

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

13768423011900 is a wasteful number, since it uses less digits than its factorization.

13768423011900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041028 (or 3041018 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13768423011900 in words is "thirteen trillion, seven hundred sixty-eight billion, four hundred twenty-three million, eleven thousand, nine hundred".