13889336630400 has 3072 divisors, whose sum is σ = 65348674560000. Its totient is φ = 2855817216000.

The previous prime is 13889336630369. The next prime is 13889336630443. The reversal of 13889336630400 is 403663398831.

13889336630400 is a `hidden beast` number, since 13 + 88 + 93 + 3 + 6 + 63 + 0 + 400 = 666.

13889336630400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44660246245 + ... + 44660246555.

It is an arithmetic number, because the mean of its divisors is an integer number (21272355000).

Almost surely, 2^{13889336630400} is an apocalyptic number.

13889336630400 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 13889336630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32674337280000).

13889336630400 is an abundant number, since it is smaller than the sum of its proper divisors (51459337929600).

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

13889336630400 is a wasteful number, since it uses less digits than its factorization.

13889336630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 13889336630400 in words is "thirteen trillion, eight hundred eighty-nine billion, three hundred thirty-six million, six hundred thirty thousand, four hundred".