4765877581921 has 27 divisors (see below), whose sum is σ = 5091937182507. Its totient is φ = 4459788856320.

The previous prime is 4765877581919. The next prime is 4765877581951. The reversal of 4765877581921 is 1291857785674.

It is a happy number.

The square root of 4765877581921 is 2183089.

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

It can be written as a sum of positive squares in 13 ways, for example, as 46208231521 + 4719669350400 = 214961^2 + 2172480^2 .

It is not a de Polignac number, because 4765877581921 - 2¹ = 4765877581919 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4765877581951) 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, 10428615925 + ... + 10428616381.

Almost surely, 2^{4765877581921} is an apocalyptic number.

4765877581921 is the 2183089-th square number.

4765877581921 is the 1091545-th centered octagonal number.

It is an amenable number.

4765877581921 is a deficient number, since it is larger than the sum of its proper divisors (326059600586).

4765877581921 is an frugal number, since it uses more digits than its factorization.

4765877581921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 755 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 70.

It can be divided in two parts, 476587 and 7581921, that added together give a palindrome (8058508).

The spelling of 4765877581921 in words is "four trillion, seven hundred sixty-five billion, eight hundred seventy-seven million, five hundred eighty-one thousand, nine hundred twenty-one".