1339313079456 has 360 divisors, whose sum is σ = 4353620042772. Its totient is φ = 403593062400.

The previous prime is 1339313079437. The next prime is 1339313079469. The reversal of 1339313079456 is 6549703139331.

It is a happy number.

1339313079456 is a `hidden beast` number, since 1 + 3 + 3 + 93 + 1 + 30 + 79 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 925220829456 + 414092250000 = 961884^2 + 643500^2 .

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 59 ways as a sum of consecutive naturals, for example, 56755596 + ... + 56779188.

Almost surely, 2^{1339313079456} is an apocalyptic number.

1339313079456 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 1339313079456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176810021386).

1339313079456 is an abundant number, since it is smaller than the sum of its proper divisors (3014306963316).

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

1339313079456 is a wasteful number, since it uses less digits than its factorization.

1339313079456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23818 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 1339313079456 in words is "one trillion, three hundred thirty-nine billion, three hundred thirteen million, seventy-nine thousand, four hundred fifty-six".