61044165504 has 768 divisors, whose sum is σ = 221495040000. Its totient is φ = 16078196736.

The previous prime is 61044165493. The next prime is 61044165517. The reversal of 61044165504 is 40556144016.

61044165504 is a `hidden beast` number, since 6 + 104 + 41 + 6 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352856362 + ... + 352856534.

It is an arithmetic number, because the mean of its divisors is an integer number (288405000).

Almost surely, 2^61044165504 is an apocalyptic number.

61044165504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61044165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110747520000).

61044165504 is an abundant number, since it is smaller than the sum of its proper divisors (160450874496).

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

61044165504 is a wasteful number, since it uses less digits than its factorization.

61044165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 61044165504 in words is "sixty-one billion, forty-four million, one hundred sixty-five thousand, five hundred four".