313661120256 has 144 divisors (see below), whose sum is σ = 1011874187520. Its totient is φ = 95048801280.

The previous prime is 313661120237. The next prime is 313661120281. The reversal of 313661120256 is 652021166313.

313661120256 is a `hidden beast` number, since 3 + 1 + 36 + 611 + 2 + 0 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313661120256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1986660 + ... + 2138723.

It is an arithmetic number, because the mean of its divisors is an integer number (7026904080).

Almost surely, 2^313661120256 is an apocalyptic number.

313661120256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313661120256 is an abundant number, since it is smaller than the sum of its proper divisors (698213067264).

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

313661120256 is a wasteful number, since it uses less digits than its factorization.

313661120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125419 (or 4125399 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 313661120256 its reverse (652021166313), we get a palindrome (965682286569).

The spelling of 313661120256 in words is "three hundred thirteen billion, six hundred sixty-one million, one hundred twenty thousand, two hundred fifty-six".