314294979456 has 384 divisors, whose sum is σ = 1027102096800. Its totient is φ = 91644493824.

The previous prime is 314294979451. The next prime is 314294979463. The reversal of 314294979456 is 654979492413.

314294979456 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 9 + 497 + 94 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×314294979456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314294979393 and 314294979402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314294979451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19713120 + ... + 19729056.

Almost surely, 2^314294979456 is an apocalyptic number.

314294979456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314294979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513551048400).

314294979456 is an abundant number, since it is smaller than the sum of its proper divisors (712807117344).

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

314294979456 is a wasteful number, since it uses less digits than its factorization.

314294979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16046 (or 16031 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 314294979456 in words is "three hundred fourteen billion, two hundred ninety-four million, nine hundred seventy-nine thousand, four hundred fifty-six".