313155242256640 has 576 divisors, whose sum is σ = 895976032089600. Its totient is φ = 104768066027520.

The previous prime is 313155242256629. The next prime is 313155242256653. The reversal of 313155242256640 is 46652242551313.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20709948280 + ... + 20709963400.

It is an arithmetic number, because the mean of its divisors is an integer number (1555513944600).

Almost surely, 2^{313155242256640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313155242256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447988016044800).

313155242256640 is an abundant number, since it is smaller than the sum of its proper divisors (582820789832960).

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

313155242256640 is a wasteful number, since it uses less digits than its factorization.

313155242256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16303 (or 16275 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 313155242256640 in words is "three hundred thirteen trillion, one hundred fifty-five billion, two hundred forty-two million, two hundred fifty-six thousand, six hundred forty".