314114096511747 has 96 divisors (see below), whose sum is σ = 538915529478144. Its totient is φ = 179102379204000.

The previous prime is 314114096511653. The next prime is 314114096511751. The reversal of 314114096511747 is 747115690411413.

It is a happy number.

314114096511747 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 1 + 409 + 65 + 1 + 174 + 7 = 666.

It is not a de Polignac number, because 314114096511747 - 2²⁰ = 314114095463171 is a prime.

It is a super-3 number, since 3×314114096511747³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 314114096511693 and 314114096511702.

It is not an unprimeable number, because it can be changed into a prime (314114096511767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6820981872 + ... + 6821027922.

It is an arithmetic number, because the mean of its divisors is an integer number (5613703432064).

Almost surely, 2^{314114096511747} is an apocalyptic number.

314114096511747 is a deficient number, since it is larger than the sum of its proper divisors (224801432966397).

314114096511747 is an equidigital number, since it uses as much as digits as its factorization.

314114096511747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54731 (or 54719 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 314114096511747 in words is "three hundred fourteen trillion, one hundred fourteen billion, ninety-six million, five hundred eleven thousand, seven hundred forty-seven".