313742943360 has 768 divisors, whose sum is σ = 1382220702720. Its totient is φ = 63673344000.

The previous prime is 313742943251. The next prime is 313742943361. The reversal of 313742943360 is 63349247313.

It is a happy number.

313742943360 is a `hidden beast` number, since 3 + 137 + 4 + 29 + 433 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (313742943361) 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, 19063135 + ... + 19079585.

It is an arithmetic number, because the mean of its divisors is an integer number (1799766540).

Almost surely, 2^313742943360 is an apocalyptic number.

313742943360 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 313742943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691110351360).

313742943360 is an abundant number, since it is smaller than the sum of its proper divisors (1068477759360).

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

313742943360 is a wasteful number, since it uses less digits than its factorization.

313742943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16537 (or 16522 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 313742943360 in words is "three hundred thirteen billion, seven hundred forty-two million, nine hundred forty-three thousand, three hundred sixty".