14311146456113 has 16 divisors (see below), whose sum is σ = 15519676645200. Its totient is φ = 13196248565760.

The previous prime is 14311146456077. The next prime is 14311146456121. The reversal of 14311146456113 is 31165464111341.

It can be written as a sum of positive squares in 8 ways, for example, as 10740380671504 + 3570765784609 = 3277252^2 + 1889647^2 .

It is not a de Polignac number, because 14311146456113 - 2²⁸ = 14310878020657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14311146456613) 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, 1393808 + ... + 5528561.

It is an arithmetic number, because the mean of its divisors is an integer number (969979790325).

Almost surely, 2^{14311146456113} is an apocalyptic number.

14311146456113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14311146456113 is a deficient number, since it is larger than the sum of its proper divisors (1208530189087).

14311146456113 is an frugal number, since it uses more digits than its factorization.

14311146456113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923349 (or 6923323 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The spelling of 14311146456113 in words is "fourteen trillion, three hundred eleven billion, one hundred forty-six million, four hundred fifty-six thousand, one hundred thirteen".