13813800000 has 1344 divisors, whose sum is σ = 64003903488. Its totient is φ = 2534400000.

The previous prime is 13813799971. The next prime is 13813800019. The reversal of 13813800000 is 831831.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600599989 + ... + 600600011.

It is an arithmetic number, because the mean of its divisors is an integer number (47621952).

Almost surely, 2^13813800000 is an apocalyptic number.

13813800000 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 13813800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32001951744).

13813800000 is an abundant number, since it is smaller than the sum of its proper divisors (50190103488).

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

13813800000 is a wasteful number, since it uses less digits than its factorization.

13813800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 13813800000 in words is "thirteen billion, eight hundred thirteen million, eight hundred thousand".