314478785016 has 160 divisors (see below), whose sum is σ = 991905108480. Its totient is φ = 92222452800.

The previous prime is 314478785011. The next prime is 314478785017. The reversal of 314478785016 is 610587874413.

314478785016 is a `hidden beast` number, since 3 + 14 + 47 + 87 + 8 + 501 + 6 = 666.

It is a super-2 number, since 2×314478785016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314478785011) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 490626 + ... + 932561.

It is an arithmetic number, because the mean of its divisors is an integer number (6199406928).

Almost surely, 2^314478785016 is an apocalyptic number.

314478785016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314478785016 is an abundant number, since it is smaller than the sum of its proper divisors (677426323464).

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

314478785016 is a wasteful number, since it uses less digits than its factorization.

314478785016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423247 (or 1423234 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 314478785016 in words is "three hundred fourteen billion, four hundred seventy-eight million, seven hundred eighty-five thousand, sixteen".