2918956722961 has 8 divisors (see below), whose sum is σ = 2921146885800. Its totient is φ = 2916766769280.

The previous prime is 2918956722947. The next prime is 2918956723031. The reversal of 2918956722961 is 1692276598192.

It can be written as a sum of positive squares in 4 ways, for example, as 24875282961 + 2894081440000 = 157719^2 + 1701200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2918956722961 - 2¹³ = 2918956714769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2918956722901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38157531 + ... + 38233951.

It is an arithmetic number, because the mean of its divisors is an integer number (365143360725).

Almost surely, 2^{2918956722961} is an apocalyptic number.

It is an amenable number.

2918956722961 is a deficient number, since it is larger than the sum of its proper divisors (2190162839).

2918956722961 is a wasteful number, since it uses less digits than its factorization.

2918956722961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104579.

The product of its digits is 58786560, while the sum is 67.

The spelling of 2918956722961 in words is "two trillion, nine hundred eighteen billion, nine hundred fifty-six million, seven hundred twenty-two thousand, nine hundred sixty-one".