314564471496 has 576 divisors, whose sum is σ = 1021797504000. Its totient is φ = 87092121600.

The previous prime is 314564471483. The next prime is 314564471509. The reversal of 314564471496 is 694174465413.

It is a happy number.

314564471496 is a `hidden beast` number, since 3 + 1 + 4 + 56 + 447 + 149 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (314564471483) and next prime (314564471509).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 552837100 + ... + 552837668.

It is an arithmetic number, because the mean of its divisors is an integer number (1773954000).

Almost surely, 2^314564471496 is an apocalyptic number.

314564471496 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 314564471496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510898752000).

314564471496 is an abundant number, since it is smaller than the sum of its proper divisors (707233032504).

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

314564471496 is a wasteful number, since it uses less digits than its factorization.

314564471496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 728 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 314564471496 in words is "three hundred fourteen billion, five hundred sixty-four million, four hundred seventy-one thousand, four hundred ninety-six".