13853038804992 has 204 divisors, whose sum is σ = 41501839098720. Its totient is φ = 4617674293248.

The previous prime is 13853038804973. The next prime is 13853038805059. The reversal of 13853038804992 is 29940883035831.

13853038804992 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 30 + 38 + 80 + 499 + 2 = 666.

It is a super-2 number, since 2×13853038804992² (a number of 27 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 11 ways as a sum of consecutive naturals, for example, 15490309 + ... + 16360187.

Almost surely, 2^{13853038804992} is an apocalyptic number.

13853038804992 is a gapful number since it is divisible by the number (12) 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 13853038804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750919549360).

13853038804992 is an abundant number, since it is smaller than the sum of its proper divisors (27648800293728).

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

13853038804992 is an frugal number, since it uses more digits than its factorization.

13853038804992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869926 (or 869884 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 13853038804992 in words is "thirteen trillion, eight hundred fifty-three billion, thirty-eight million, eight hundred four thousand, nine hundred ninety-two".