114746536944361 has 81 divisors (see below), whose sum is σ = 139749702647877. Its totient is φ = 93939788577600.

The previous prime is 114746536944329. The next prime is 114746536944367. The reversal of 114746536944361 is 163449635647411.

The square root of 114746536944361 is 10711981.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 65961117506025 + 48785419438336 = 8121645^2 + 6984656^2 .

It is not a de Polignac number, because 114746536944361 - 2⁵ = 114746536944329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114746536944293 and 114746536944302.

It is not an unprimeable number, because it can be changed into a prime (114746536944367) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 163689781311 + ... + 163689782011.

Almost surely, 2^{114746536944361} is an apocalyptic number.

114746536944361 is the 10711981-st square number.

114746536944361 is the 5355991-st centered octagonal number.

It is an amenable number.

114746536944361 is a deficient number, since it is larger than the sum of its proper divisors (25003165703516).

114746536944361 is an frugal number, since it uses more digits than its factorization.

114746536944361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 804 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 64.

The spelling of 114746536944361 in words is "one hundred fourteen trillion, seven hundred forty-six billion, five hundred thirty-six million, nine hundred forty-four thousand, three hundred sixty-one".