4979900201761 has 27 divisors (see below), whose sum is σ = 5338455791571. Its totient is φ = 4644734158944.

The previous prime is 4979900201747. The next prime is 4979900201797. The reversal of 4979900201761 is 1671020099794.

The square root of 4979900201761 is 2231569.

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., 141026536225 + 4838873665536 = 375535^2 + 2199744^2 .

It is not a de Polignac number, because 4979900201761 - 2⁹ = 4979900201249 is a prime.

It is a super-2 number, since 2×4979900201761² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4979900201701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2840786461 + ... + 2840788213.

It is an arithmetic number, because the mean of its divisors is an integer number (197720584873).

Almost surely, 2^{4979900201761} is an apocalyptic number.

4979900201761 is the 2231569-th square number.

4979900201761 is the 1115785-th centered octagonal number.

It is an amenable number.

4979900201761 is a deficient number, since it is larger than the sum of its proper divisors (358555589810).

4979900201761 is an frugal number, since it uses more digits than its factorization.

4979900201761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 55.

The spelling of 4979900201761 in words is "four trillion, nine hundred seventy-nine billion, nine hundred million, two hundred one thousand, seven hundred sixty-one".