313745605062240 has 384 divisors, whose sum is σ = 1071944154288000. Its totient is φ = 76677043322880.

The previous prime is 313745605062221. The next prime is 313745605062259. The reversal of 313745605062240 is 42260506547313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313745605062221) and next prime (313745605062259).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 313745605062240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2109551080 + ... + 2109699800.

It is an arithmetic number, because the mean of its divisors is an integer number (2791521235125).

Almost surely, 2^{313745605062240} is an apocalyptic number.

313745605062240 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 313745605062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535972077144000).

313745605062240 is an abundant number, since it is smaller than the sum of its proper divisors (758198549225760).

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

313745605062240 is a wasteful number, since it uses less digits than its factorization.

313745605062240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151170 (or 151162 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 313745605062240 in words is "three hundred thirteen trillion, seven hundred forty-five billion, six hundred five million, sixty-two thousand, two hundred forty".