61460144928 has 960 divisors, whose sum is σ = 234794609280. Its totient is φ = 15533586432.

The previous prime is 61460144917. The next prime is 61460144953. The reversal of 61460144928 is 82944106416.

61460144928 is a `hidden beast` number, since 6 + 14 + 601 + 4 + 4 + 9 + 28 = 666.

61460144928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1159625350 + ... + 1159625402.

It is an arithmetic number, because the mean of its divisors is an integer number (244577718).

Almost surely, 2^61460144928 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 61460144928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117397304640).

61460144928 is an abundant number, since it is smaller than the sum of its proper divisors (173334464352).

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

61460144928 is a wasteful number, since it uses less digits than its factorization.

61460144928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 61460144928 in words is "sixty-one billion, four hundred sixty million, one hundred forty-four thousand, nine hundred twenty-eight".