314145458601 has 16 divisors (see below), whose sum is σ = 465631649280. Its totient is φ = 187084143360.

The previous prime is 314145458587. The next prime is 314145458657. The reversal of 314145458601 is 106854541413.

It is not a de Polignac number, because 314145458601 - 2⁹ = 314145458089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314145458681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129918336 + ... + 129920753.

It is an arithmetic number, because the mean of its divisors is an integer number (29101978080).

Almost surely, 2^314145458601 is an apocalyptic number.

314145458601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

314145458601 is a deficient number, since it is larger than the sum of its proper divisors (151486190679).

314145458601 is a wasteful number, since it uses less digits than its factorization.

314145458601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259839136.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 314145458601 in words is "three hundred fourteen billion, one hundred forty-five million, four hundred fifty-eight thousand, six hundred one".