314140317792016 has 15 divisors (see below), whose sum is σ = 608647003083093. Its totient is φ = 157070123448000.

The previous prime is 314140317791977. The next prime is 314140317792029. The reversal of 314140317792016 is 610297713041413.

The square root of 314140317792016 is 17724004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29411141625616 + 284729176166400 = 5423204^2 + 16873920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 68680516 + ... + 73111516.

Almost surely, 2^{314140317792016} is an apocalyptic number.

314140317792016 is the 17724004-th square number.

It is an amenable number.

314140317792016 is a deficient number, since it is larger than the sum of its proper divisors (294506685291077).

314140317792016 is an frugal number, since it uses more digits than its factorization.

314140317792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862010 (or 4431003 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 314140317792016 in words is "three hundred fourteen trillion, one hundred forty billion, three hundred seventeen million, seven hundred ninety-two thousand, sixteen".