61577071327449 has 40 divisors (see below), whose sum is σ = 92229204053448. Its totient is φ = 40942648074240.

The previous prime is 61577071327363. The next prime is 61577071327459. The reversal of 61577071327449 is 94472317077516.

61577071327449 is a `hidden beast` number, since 6 + 1 + 57 + 7 + 0 + 7 + 132 + 7 + 449 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16114146863049 + 45462924464400 = 4014243^2 + 6742620^2 .

It is not a de Polignac number, because 61577071327449 - 2⁸ = 61577071327193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61577071327459) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 255109479 + ... + 255350739.

Almost surely, 2^{61577071327449} is an apocalyptic number.

It is an amenable number.

61577071327449 is a deficient number, since it is larger than the sum of its proper divisors (30652132725999).

61577071327449 is a wasteful number, since it uses less digits than its factorization.

61577071327449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249607 (or 249598 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 61577071327449 in words is "sixty-one trillion, five hundred seventy-seven billion, seventy-one million, three hundred twenty-seven thousand, four hundred forty-nine".