13881954998400 has 384 divisors, whose sum is σ = 47837852467200. Its totient is φ = 3531540418560.

The previous prime is 13881954998399. The next prime is 13881954998437. The reversal of 13881954998400 is 489945918831.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83600257 + ... + 83766143.

It is an arithmetic number, because the mean of its divisors is an integer number (124577740800).

Almost surely, 2^{13881954998400} is an apocalyptic number.

13881954998400 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 13881954998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23918926233600).

13881954998400 is an abundant number, since it is smaller than the sum of its proper divisors (33955897468800).

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

13881954998400 is a wasteful number, since it uses less digits than its factorization.

13881954998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166316 (or 166299 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 69.

The spelling of 13881954998400 in words is "thirteen trillion, eight hundred eighty-one billion, nine hundred fifty-four million, nine hundred ninety-eight thousand, four hundred".