61577198128996 has 81 divisors (see below), whose sum is σ = 125015871161433. Its totient is φ = 26515084321440.

The previous prime is 61577198128903. The next prime is 61577198129011. The reversal of 61577198128996 is 69982189177516.

The square root of 61577198128996 is 7847114.

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., 61524727812900 + 52470316096 = 7843770^2 + 229064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3280084266 + ... + 3280103038.

Almost surely, 2^{61577198128996} is an apocalyptic number.

61577198128996 is the 7847114-th square number.

It is an amenable number.

61577198128996 is an abundant number, since it is smaller than the sum of its proper divisors (63438673032437).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61577198128996 is an equidigital number, since it uses as much as digits as its factorization.

61577198128996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37610 (or 18805 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 79.

The spelling of 61577198128996 in words is "sixty-one trillion, five hundred seventy-seven billion, one hundred ninety-eight million, one hundred twenty-eight thousand, nine hundred ninety-six".