314115442620 has 96 divisors (see below), whose sum is σ = 1005983666688. Its totient is φ = 71739654912.

The previous prime is 314115442567. The next prime is 314115442633. The reversal of 314115442620 is 26244511413.

It is a happy number.

314115442620 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×314115442620² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217239 + ... + 821841.

It is an arithmetic number, because the mean of its divisors is an integer number (10478996528).

Almost surely, 2^314115442620 is an apocalyptic number.

314115442620 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 314115442620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502991833344).

314115442620 is an abundant number, since it is smaller than the sum of its proper divisors (691868224068).

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

314115442620 is a wasteful number, since it uses less digits than its factorization.

314115442620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605859 (or 605857 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 314115442620 in words is "three hundred fourteen billion, one hundred fifteen million, four hundred forty-two thousand, six hundred twenty".