61117136885024 has 192 divisors, whose sum is σ = 140291879067648. Its totient is φ = 25929421056000.

The previous prime is 61117136885011. The next prime is 61117136885039. The reversal of 61117136885024 is 42058863171116.

It is a Cunningham number, because it is equal to 7817745²-1.

It is a super-3 number, since 3×61117136885024³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359531249 + ... + 359701199.

It is an arithmetic number, because the mean of its divisors is an integer number (730686870144).

Almost surely, 2^{61117136885024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61117136885024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70145939533824).

61117136885024 is an abundant number, since it is smaller than the sum of its proper divisors (79174742182624).

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

61117136885024 is a wasteful number, since it uses less digits than its factorization.

61117136885024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171071 (or 171063 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 61117136885024 in words is "sixty-one trillion, one hundred seventeen billion, one hundred thirty-six million, eight hundred eighty-five thousand, twenty-four".