314314317144 has 24 divisors (see below), whose sum is σ = 851267942460. Its totient is φ = 104771439024.

The previous prime is 314314317071. The next prime is 314314317173. The reversal of 314314317144 is 441713413413.

314314317144 is a `hidden beast` number, since 3 + 14 + 314 + 317 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 314314317099 and 314314317108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2182738242 + ... + 2182738385.

Almost surely, 2^314314317144 is an apocalyptic number.

It is an amenable number.

314314317144 is an abundant number, since it is smaller than the sum of its proper divisors (536953625316).

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

314314317144 is a wasteful number, since it uses less digits than its factorization.

314314317144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365476639 (or 4365476632 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 314314317144 in words is "three hundred fourteen billion, three hundred fourteen million, three hundred seventeen thousand, one hundred forty-four".