61165076122744 has 128 divisors (see below), whose sum is σ = 131973476544000. Its totient is φ = 26283405657600.

The previous prime is 61165076122729. The next prime is 61165076122751. The reversal of 61165076122744 is 44722167056116.

It is a junction number, because it is equal to n+sod(n) for n = 61165076122691 and 61165076122700.

It is a congruent number.

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, 2140645642 + ... + 2140674214.

It is an arithmetic number, because the mean of its divisors is an integer number (1031042785500).

Almost surely, 2^{61165076122744} 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 61165076122744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65986738272000).

61165076122744 is an abundant number, since it is smaller than the sum of its proper divisors (70808400421256).

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

61165076122744 is a wasteful number, since it uses less digits than its factorization.

61165076122744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31269 (or 31265 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 61165076122744 in words is "sixty-one trillion, one hundred sixty-five billion, seventy-six million, one hundred twenty-two thousand, seven hundred forty-four".