13319751456 has 168 divisors, whose sum is σ = 42891995664. Its totient is φ = 4036210560.

The previous prime is 13319751433. The next prime is 13319751503. The reversal of 13319751456 is 65415791331.

13319751456 is a `hidden beast` number, since 1 + 3 + 3 + 197 + 5 + 1 + 456 = 666.

It is a super-2 number, since 2×13319751456² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 230655 + ... + 282561.

It is an arithmetic number, because the mean of its divisors is an integer number (255309498).

Almost surely, 2^13319751456 is an apocalyptic number.

13319751456 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 13319751456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21445997832).

13319751456 is an abundant number, since it is smaller than the sum of its proper divisors (29572244208).

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

13319751456 is an equidigital number, since it uses as much as digits as its factorization.

13319751456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51946 (or 51923 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The spelling of 13319751456 in words is "thirteen billion, three hundred nineteen million, seven hundred fifty-one thousand, four hundred fifty-six".