61590648816841 has 9 divisors (see below), whose sum is σ = 61747779546439. Its totient is φ = 61433916988000.

The previous prime is 61590648816793. The next prime is 61590648816881. The reversal of 61590648816841 is 14861884609516.

The square root of 61590648816841 is 7847971.

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., 60977810351241 + 612838465600 = 7808829^2 + 782840^2 .

It is not a de Polignac number, because 61590648816841 - 2⁷ = 61590648816713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61590648816881) 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, 3147026586 + ... + 3147046156.

Almost surely, 2^{61590648816841} is an apocalyptic number.

61590648816841 is the 7847971-st square number.

61590648816841 is the 3923986-th centered octagonal number.

It is an amenable number.

61590648816841 is a deficient number, since it is larger than the sum of its proper divisors (157130729598).

61590648816841 is an frugal number, since it uses more digits than its factorization.

61590648816841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39944 (or 19972 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 67.

The spelling of 61590648816841 in words is "sixty-one trillion, five hundred ninety billion, six hundred forty-eight million, eight hundred sixteen thousand, eight hundred forty-one".