313629797472 has 192 divisors, whose sum is σ = 879916250304. Its totient is φ = 97471365120.

The previous prime is 313629797449. The next prime is 313629797479. The reversal of 313629797472 is 274797926313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313629797479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81821668 + ... + 81825500.

It is an arithmetic number, because the mean of its divisors is an integer number (4582897137).

Almost surely, 2^313629797472 is an apocalyptic number.

313629797472 is a gapful number since it is divisible by the number (32) 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 313629797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439958125152).

313629797472 is an abundant number, since it is smaller than the sum of its proper divisors (566286452832).

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

313629797472 is a wasteful number, since it uses less digits than its factorization.

313629797472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4313 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 60.

The spelling of 313629797472 in words is "three hundred thirteen billion, six hundred twenty-nine million, seven hundred ninety-seven thousand, four hundred seventy-two".