13799449884000 has 768 divisors, whose sum is σ = 51958261555200. Its totient is φ = 3166449408000.

The previous prime is 13799449883993. The next prime is 13799449884013. The reversal of 13799449884000 is 48894499731.

It is a happy number.

It is a super-2 number, since 2×13799449884000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4481794461 + ... + 4481797539.

It is an arithmetic number, because the mean of its divisors is an integer number (67653986400).

Almost surely, 2^{13799449884000} is an apocalyptic number.

13799449884000 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 13799449884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25979130777600).

13799449884000 is an abundant number, since it is smaller than the sum of its proper divisors (38158811671200).

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

13799449884000 is a wasteful number, since it uses less digits than its factorization.

13799449884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 13799449884000 in words is "thirteen trillion, seven hundred ninety-nine billion, four hundred forty-nine million, eight hundred eighty-four thousand".