314516107152700 has 72 divisors (see below), whose sum is σ = 699231184933680. Its totient is φ = 122723089881600.

The previous prime is 314516107152641. The next prime is 314516107152763. The reversal of 314516107152700 is 7251701615413.

It is a super-3 number, since 3×314516107152700³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29143186 + ... + 38449414.

It is an arithmetic number, because the mean of its divisors is an integer number (9711544235190).

Almost surely, 2^{314516107152700} 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 314516107152700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349615592466840).

314516107152700 is an abundant number, since it is smaller than the sum of its proper divisors (384715077780980).

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

314516107152700 is a wasteful number, since it uses less digits than its factorization.

314516107152700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314527 (or 9314520 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 314516107152700 in words is "three hundred fourteen trillion, five hundred sixteen billion, one hundred seven million, one hundred fifty-two thousand, seven hundred".