314521016640 has 224 divisors, whose sum is σ = 1021725200640. Its totient is φ = 81948672000.

The previous prime is 314521016639. The next prime is 314521016683. The reversal of 314521016640 is 46610125413.

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, 8824776 + ... + 8860344.

Almost surely, 2^314521016640 is an apocalyptic number.

314521016640 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 314521016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510862600320).

314521016640 is an abundant number, since it is smaller than the sum of its proper divisors (707204184000).

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

314521016640 is a wasteful number, since it uses less digits than its factorization.

314521016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35801 (or 35791 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 314521016640 in words is "three hundred fourteen billion, five hundred twenty-one million, sixteen thousand, six hundred forty".