314068653360 has 960 divisors, whose sum is σ = 1353035114496. Its totient is φ = 63402393600.

The previous prime is 314068653359. The next prime is 314068653427. The reversal of 314068653360 is 63356860413.

314068653360 is a `hidden beast` number, since 31 + 4 + 0 + 6 + 86 + 533 + 6 + 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 191 ways as a sum of consecutive naturals, for example, 287344974 + ... + 287346066.

Almost surely, 2^314068653360 is an apocalyptic number.

314068653360 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 314068653360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676517557248).

314068653360 is an abundant number, since it is smaller than the sum of its proper divisors (1038966461136).

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

314068653360 is a wasteful number, since it uses less digits than its factorization.

314068653360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 314068653360 in words is "three hundred fourteen billion, sixty-eight million, six hundred fifty-three thousand, three hundred sixty".