314657886144 has 448 divisors, whose sum is σ = 1055758924800. Its totient is φ = 80671997952.

The previous prime is 314657886133. The next prime is 314657886161. The reversal of 314657886144 is 441688756413.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×314657886144² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 39244824 + ... + 39252840.

Almost surely, 2^314657886144 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 314657886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527879462400).

314657886144 is an abundant number, since it is smaller than the sum of its proper divisors (741101038656).

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

314657886144 is a wasteful number, since it uses less digits than its factorization.

314657886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8130 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The spelling of 314657886144 in words is "three hundred fourteen billion, six hundred fifty-seven million, eight hundred eighty-six thousand, one hundred forty-four".