13801881600 has 600 divisors, whose sum is σ = 55064867550. Its totient is φ = 3397386240.

The previous prime is 13801881581. The next prime is 13801881601. The reversal of 13801881600 is 618810831.

13801881600 is a `hidden beast` number, since 1 + 38 + 0 + 18 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7665352704 + 6136528896 = 87552^2 + 78336^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (13801881601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1061683194 + ... + 1061683206.

Almost surely, 2^13801881600 is an apocalyptic number.

13801881600 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 13801881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27532433775).

13801881600 is an abundant number, since it is smaller than the sum of its proper divisors (41262985950).

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

13801881600 is an frugal number, since it uses more digits than its factorization.

13801881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

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

The spelling of 13801881600 in words is "thirteen billion, eight hundred one million, eight hundred eighty-one thousand, six hundred".