314642051216256 has 128 divisors (see below), whose sum is σ = 837127745879040. Its totient is φ = 104710066053120.

The previous prime is 314642051216239. The next prime is 314642051216303. The reversal of 314642051216256 is 652612150246413.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4242651816 + ... + 4242725976.

It is an arithmetic number, because the mean of its divisors is an integer number (6540060514680).

Almost surely, 2^{314642051216256} 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 314642051216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418563872939520).

314642051216256 is an abundant number, since it is smaller than the sum of its proper divisors (522485694662784).

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

314642051216256 is a wasteful number, since it uses less digits than its factorization.

314642051216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92004 (or 91992 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 314642051216256 in words is "three hundred fourteen trillion, six hundred forty-two billion, fifty-one million, two hundred sixteen thousand, two hundred fifty-six".