313430164398 has 192 divisors, whose sum is σ = 818570188800. Its totient is φ = 85625164800.

The previous prime is 313430164393. The next prime is 313430164433. The reversal of 313430164398 is 893461034313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313430164393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18055423 + ... + 18072773.

It is an arithmetic number, because the mean of its divisors is an integer number (4263386400).

Almost surely, 2^313430164398 is an apocalyptic number.

313430164398 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313430164398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409285094400).

313430164398 is an abundant number, since it is smaller than the sum of its proper divisors (505140024402).

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

313430164398 is a wasteful number, since it uses less digits than its factorization.

313430164398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17647 (or 17644 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 313430164398 in words is "three hundred thirteen billion, four hundred thirty million, one hundred sixty-four thousand, three hundred ninety-eight".