314049415680 has 3200 divisors, whose sum is σ = 1617061501440. Its totient is φ = 56056872960.

The previous prime is 314049415649. The next prime is 314049415709. The reversal of 314049415680 is 86514940413.

314049415680 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 49 + 41 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3528645076 + ... + 3528645164.

Almost surely, 2^314049415680 is an apocalyptic number.

314049415680 is a gapful number since it is divisible by the number (30) 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 314049415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808530750720).

314049415680 is an abundant number, since it is smaller than the sum of its proper divisors (1303012085760).

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

314049415680 is a wasteful number, since it uses less digits than its factorization.

314049415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 314049415680 in words is "three hundred fourteen billion, forty-nine million, four hundred fifteen thousand, six hundred eighty".