4992413765641 has 9 divisors (see below), whose sum is σ = 5001750736839. Its totient is φ = 4983094204200.

The previous prime is 4992413765611. The next prime is 4992413765683. The reversal of 4992413765641 is 1465673142994.

The square root of 4992413765641 is 2234371.

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., 2089820075641 + 2902593690000 = 1445621^2 + 1703700^2 .

It is not a de Polignac number, because 4992413765641 - 2³¹ = 4990266281993 is a prime.

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 4992413765641.

It is not an unprimeable number, because it can be changed into a prime (4992413765611) 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, 1409886331 + ... + 1409889871.

It is an arithmetic number, because the mean of its divisors is an integer number (555750081871).

Almost surely, 2^{4992413765641} is an apocalyptic number.

4992413765641 is the 2234371-st square number.

4992413765641 is the 1117186-th centered octagonal number.

It is an amenable number.

4992413765641 is a deficient number, since it is larger than the sum of its proper divisors (9336971198).

4992413765641 is an frugal number, since it uses more digits than its factorization.

4992413765641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 4172 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 61.

The spelling of 4992413765641 in words is "four trillion, nine hundred ninety-two billion, four hundred thirteen million, seven hundred sixty-five thousand, six hundred forty-one".