314897295352640 has 1792 divisors, whose sum is σ = 1080574658150400. Its totient is φ = 86015913984000.

The previous prime is 314897295352567. The next prime is 314897295352657. The reversal of 314897295352640 is 46253592798413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25787996135 + ... + 25788008345.

It is an arithmetic number, because the mean of its divisors is an integer number (602999251200).

It is a 1-persistent number, because it is pandigital, but 2⋅314897295352640 = 629794590705280 is not.

Almost surely, 2^{314897295352640} 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 314897295352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540287329075200).

314897295352640 is an abundant number, since it is smaller than the sum of its proper divisors (765677362797760).

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

314897295352640 is a wasteful number, since it uses less digits than its factorization.

314897295352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 68.

The spelling of 314897295352640 in words is "three hundred fourteen trillion, eight hundred ninety-seven billion, two hundred ninety-five million, three hundred fifty-two thousand, six hundred forty".