13801881600000 has 1380 divisors, whose sum is σ = 55505432807748. Its totient is φ = 3397386240000.

The previous prime is 13801881599963. The next prime is 13801881600041. The reversal of 13801881600000 is 618810831.

13801881600000 is a `hidden beast` number, since 1 + 38 + 0 + 18 + 8 + 1 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13051398979584 + 750482620416 = 3612672^2 + 866304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1061683199994 + ... + 1061683200006.

Almost surely, 2^{13801881600000} is an apocalyptic number.

13801881600000 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 13801881600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27752716403874).

13801881600000 is an abundant number, since it is smaller than the sum of its proper divisors (41703551207748).

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

13801881600000 is an frugal number, since it uses more digits than its factorization.

13801881600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 13801881600000 in words is "thirteen trillion, eight hundred one billion, eight hundred eighty-one million, six hundred thousand".