13799135379456 has 1008 divisors, whose sum is σ = 49345124169600. Its totient is φ = 3806658035712.

The previous prime is 13799135379443. The next prime is 13799135379479. The reversal of 13799135379456 is 65497353199731.

13799135379456 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 9 + 135 + 37 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13799135379456² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475832254450 + ... + 475832254478.

It is an arithmetic number, because the mean of its divisors is an integer number (48953496200).

Almost surely, 2^{13799135379456} is an apocalyptic number.

13799135379456 is a gapful number since it is divisible by the number (16) 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 13799135379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24672562084800).

13799135379456 is an abundant number, since it is smaller than the sum of its proper divisors (35545988790144).

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

13799135379456 is an frugal number, since it uses more digits than its factorization.

13799135379456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 41 counting only the distinct ones).

The product of its digits is 578680200, while the sum is 72.

The spelling of 13799135379456 in words is "thirteen trillion, seven hundred ninety-nine billion, one hundred thirty-five million, three hundred seventy-nine thousand, four hundred fifty-six".