2456231814169 has 27 divisors (see below), whose sum is σ = 2897870678847. Its totient is φ = 2075824213344.

The previous prime is 2456231814139. The next prime is 2456231814181. The reversal of 2456231814169 is 9614181326542.

The square root of 2456231814169 is 1567237.

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., 1394276832025 + 1061954982144 = 1180795^2 + 1030512^2 .

It is not a de Polignac number, because 2456231814169 - 2⁹ = 2456231813657 is a prime.

It is a super-2 number, since 2×2456231814169² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2456231814109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 800856574 + ... + 800859640.

It is an arithmetic number, because the mean of its divisors is an integer number (107328543661).

Almost surely, 2^{2456231814169} is an apocalyptic number.

2456231814169 is the 1567237-th square number.

2456231814169 is the 783619-th centered octagonal number.

It is an amenable number.

2456231814169 is a deficient number, since it is larger than the sum of its proper divisors (441638864678).

2456231814169 is an frugal number, since it uses more digits than its factorization.

2456231814169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 3147 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The spelling of 2456231814169 in words is "two trillion, four hundred fifty-six billion, two hundred thirty-one million, eight hundred fourteen thousand, one hundred sixty-nine".