314711106516 has 192 divisors, whose sum is σ = 835030425600. Its totient is φ = 102479126400.

The previous prime is 314711106481. The next prime is 314711106599. The reversal of 314711106516 is 615601117413.

It is a happy number.

314711106516 is a `hidden beast` number, since 3 + 1 + 471 + 110 + 65 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558989251 + ... + 558989813.

It is an arithmetic number, because the mean of its divisors is an integer number (4349116800).

Almost surely, 2^314711106516 is an apocalyptic number.

314711106516 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 314711106516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417515212800).

314711106516 is an abundant number, since it is smaller than the sum of its proper divisors (520319319084).

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

314711106516 is a wasteful number, since it uses less digits than its factorization.

314711106516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 314711106516 in words is "three hundred fourteen billion, seven hundred eleven million, one hundred six thousand, five hundred sixteen".