2368616418961 has 9 divisors (see below), whose sum is σ = 2564854828731. Its totient is φ = 2186396687592.

The previous prime is 2368616418947. The next prime is 2368616418983. The reversal of 2368616418961 is 1698146168632.

The square root of 2368616418961 is 1539031.

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., 350387044225 + 2018229374736 = 591935^2 + 1420644^2 .

It is not a de Polignac number, because 2368616418961 - 2²⁷ = 2368482201233 is a prime.

It is a super-2 number, since 2×2368616418961² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2368616418961.

It is not an unprimeable number, because it can be changed into a prime (2368616418901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19948210 + ... + 20066596.

It is an arithmetic number, because the mean of its divisors is an integer number (284983869859).

Almost surely, 2^{2368616418961} is an apocalyptic number.

2368616418961 is the 1539031-st square number.

2368616418961 is the 769516-th centered octagonal number.

It is an amenable number.

2368616418961 is a deficient number, since it is larger than the sum of its proper divisors (196238409770).

2368616418961 is an frugal number, since it uses more digits than its factorization.

2368616418961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236800 (or 118400 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 61.

The spelling of 2368616418961 in words is "two trillion, three hundred sixty-eight billion, six hundred sixteen million, four hundred eighteen thousand, nine hundred sixty-one".