314040546313125 has 80 divisors (see below), whose sum is σ = 541935319685760. Its totient is φ = 161515839520000.

The previous prime is 314040546313097. The next prime is 314040546313157. The reversal of 314040546313125 is 521313645040413.

It is not a de Polignac number, because 314040546313125 - 2¹⁸ = 314040546050981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41124544 + ... + 48159206.

It is an arithmetic number, because the mean of its divisors is an integer number (6774191496072).

Almost surely, 2^{314040546313125} is an apocalyptic number.

It is an amenable number.

314040546313125 is a deficient number, since it is larger than the sum of its proper divisors (227894773372635).

314040546313125 is an equidigital number, since it uses as much as digits as its factorization.

314040546313125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035536 (or 7035521 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 314040546313125 in words is "three hundred fourteen trillion, forty billion, five hundred forty-six million, three hundred thirteen thousand, one hundred twenty-five".