61330666144 has 96 divisors (see below), whose sum is σ = 134982650880. Its totient is φ = 27194668800.

The previous prime is 61330666139. The next prime is 61330666157. The reversal of 61330666144 is 44166603316.

61330666144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61330666144² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61330666097 and 61330666106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2709337 + ... + 2731879.

It is an arithmetic number, because the mean of its divisors is an integer number (1406069280).

Almost surely, 2^61330666144 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 61330666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67491325440).

61330666144 is an abundant number, since it is smaller than the sum of its proper divisors (73651984736).

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

61330666144 is a wasteful number, since it uses less digits than its factorization.

61330666144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22754 (or 22746 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 61330666144 in words is "sixty-one billion, three hundred thirty million, six hundred sixty-six thousand, one hundred forty-four".