61685944321599 has 96 divisors (see below), whose sum is σ = 100861056092160. Its totient is φ = 36065705760000.

The previous prime is 61685944321511. The next prime is 61685944321613. The reversal of 61685944321599 is 99512344958616.

61685944321599 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 5 + 9 + 4 + 4 + 3 + 21 + 599 = 666.

It is a Cunningham number, because it is equal to 7854040²-1.

It is not a de Polignac number, because 61685944321599 - 2⁷ = 61685944321471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61685944321499) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70250034 + ... + 71122704.

It is an arithmetic number, because the mean of its divisors is an integer number (1050636000960).

Almost surely, 2^{61685944321599} is an apocalyptic number.

61685944321599 is a deficient number, since it is larger than the sum of its proper divisors (39175111770561).

61685944321599 is a wasteful number, since it uses less digits than its factorization.

61685944321599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873053 (or 873050 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 61685944321599 in words is "sixty-one trillion, six hundred eighty-five billion, nine hundred forty-four million, three hundred twenty-one thousand, five hundred ninety-nine".