314046955635072 has 512 divisors, whose sum is σ = 961066391040000. Its totient is φ = 89861247590400.

The previous prime is 314046955635031. The next prime is 314046955635089. The reversal of 314046955635072 is 270536559640413.

It is a junction number, because it is equal to n+sod(n) for n = 314046955634997 and 314046955635015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31776475443 + ... + 31776485325.

It is an arithmetic number, because the mean of its divisors is an integer number (1877082795000).

Almost surely, 2^{314046955635072} is an apocalyptic number.

314046955635072 is a gapful number since it is divisible by the number (32) 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 314046955635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480533195520000).

314046955635072 is an abundant number, since it is smaller than the sum of its proper divisors (647019435404928).

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

314046955635072 is a wasteful number, since it uses less digits than its factorization.

314046955635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 60.

The spelling of 314046955635072 in words is "three hundred fourteen trillion, forty-six billion, nine hundred fifty-five million, six hundred thirty-five thousand, seventy-two".