313479798456720 has 1920 divisors, whose sum is σ = 1296194752512000. Its totient is φ = 62126635253760.

The previous prime is 313479798456709. The next prime is 313479798456749. The reversal of 313479798456720 is 27654897974313.

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 383 ways as a sum of consecutive naturals, for example, 14178821026 + ... + 14178843134.

It is an arithmetic number, because the mean of its divisors is an integer number (675101433600).

It is a 1-persistent number, because it is pandigital, but 2⋅313479798456720 = 626959596913440 is not.

Almost surely, 2^{313479798456720} is an apocalyptic number.

313479798456720 is a gapful number since it is divisible by the number (30) 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 313479798456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648097376256000).

313479798456720 is an abundant number, since it is smaller than the sum of its proper divisors (982714954055280).

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

313479798456720 is a wasteful number, since it uses less digits than its factorization.

313479798456720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22301 (or 22288 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 75.

The spelling of 313479798456720 in words is "three hundred thirteen trillion, four hundred seventy-nine billion, seven hundred ninety-eight million, four hundred fifty-six thousand, seven hundred twenty".