18614642751961 has 9 divisors (see below), whose sum is σ = 18925070992893. Its totient is φ = 18309225805920.

The previous prime is 18614642751941. The next prime is 18614642751989. The reversal of 18614642751961 is 16915724641681.

It is a happy number.

The square root of 18614642751961 is 4314469.

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 3807692671561 + 14806950080400 = 1951331^2 + 3847980^2 .

It is not a de Polignac number, because 18614642751961 - 2³¹ = 18612495268313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18614642751961.

It is not an unprimeable number, because it can be changed into a prime (18614642751941) 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, 263147245 + ... + 263217973.

It is an arithmetic number, because the mean of its divisors is an integer number (2102785665877).

Almost surely, 2^{18614642751961} is an apocalyptic number.

18614642751961 is the 4314469-th square number.

18614642751961 is the 2157235-th centered octagonal number.

It is an amenable number.

18614642751961 is a deficient number, since it is larger than the sum of its proper divisors (310428240932).

18614642751961 is an frugal number, since it uses more digits than its factorization.

18614642751961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141580 (or 70790 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The spelling of 18614642751961 in words is "eighteen trillion, six hundred fourteen billion, six hundred forty-two million, seven hundred fifty-one thousand, nine hundred sixty-one".