61661241627232 has 384 divisors, whose sum is σ = 138186979983360. Its totient is φ = 26897408778240.

The previous prime is 61661241627229. The next prime is 61661241627241. The reversal of 61661241627232 is 23272614216616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21552337482 + ... + 21552340342.

It is an arithmetic number, because the mean of its divisors is an integer number (359861927040).

Almost surely, 2^{61661241627232} 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 61661241627232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69093489991680).

61661241627232 is an abundant number, since it is smaller than the sum of its proper divisors (76525738356128).

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

61661241627232 is a wasteful number, since it uses less digits than its factorization.

61661241627232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3278 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The spelling of 61661241627232 in words is "sixty-one trillion, six hundred sixty-one billion, two hundred forty-one million, six hundred twenty-seven thousand, two hundred thirty-two".