314642412320632 has 128 divisors (see below), whose sum is σ = 660395035238400. Its totient is φ = 139296044160000.

The previous prime is 314642412320531. The next prime is 314642412320651. The reversal of 314642412320632 is 236023214246413.

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, 5781608782 + ... + 5781663202.

It is an arithmetic number, because the mean of its divisors is an integer number (5159336212800).

Almost surely, 2^{314642412320632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314642412320632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330197517619200).

314642412320632 is an abundant number, since it is smaller than the sum of its proper divisors (345752622917768).

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

314642412320632 is a wasteful number, since it uses less digits than its factorization.

314642412320632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57149 (or 57145 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 43.

The spelling of 314642412320632 in words is "three hundred fourteen trillion, six hundred forty-two billion, four hundred twelve million, three hundred twenty thousand, six hundred thirty-two".