61477376306431 has 16 divisors (see below), whose sum is σ = 65681557320960. Its totient is φ = 57370118762880.

The previous prime is 61477376306419. The next prime is 61477376306503. The reversal of 61477376306431 is 13460367377416.

It is a cyclic number.

It is not a de Polignac number, because 61477376306431 - 2⁵ = 61477376306399 is a prime.

It is a super-2 number, since 2×61477376306431² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61477376366431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30828966 + ... + 32762476.

It is an arithmetic number, because the mean of its divisors is an integer number (4105097332560).

Almost surely, 2^{61477376306431} is an apocalyptic number.

61477376306431 is a deficient number, since it is larger than the sum of its proper divisors (4204181014529).

61477376306431 is a wasteful number, since it uses less digits than its factorization.

61477376306431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958574.

The product of its (nonzero) digits is 32006016, while the sum is 58.

The spelling of 61477376306431 in words is "sixty-one trillion, four hundred seventy-seven billion, three hundred seventy-six million, three hundred six thousand, four hundred thirty-one".