314182471680 has 1664 divisors, whose sum is σ = 1431257333760. Its totient is φ = 63488655360.

The previous prime is 314182471613. The next prime is 314182471693. The reversal of 314182471680 is 86174281413.

314182471680 is a `hidden beast` number, since 3 + 1 + 41 + 82 + 471 + 68 + 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 127 ways as a sum of consecutive naturals, for example, 2001162162 + ... + 2001162318.

Almost surely, 2^314182471680 is an apocalyptic number.

314182471680 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 314182471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715628666880).

314182471680 is an abundant number, since it is smaller than the sum of its proper divisors (1117074862080).

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

314182471680 is a wasteful number, since it uses less digits than its factorization.

314182471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 314182471680 in words is "three hundred fourteen billion, one hundred eighty-two million, four hundred seventy-one thousand, six hundred eighty".