61412866944 has 512 divisors, whose sum is σ = 202670899200. Its totient is φ = 16218316800.

The previous prime is 61412866903. The next prime is 61412866997. The reversal of 61412866944 is 44966821416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73197277 + ... + 73198115.

It is an arithmetic number, because the mean of its divisors is an integer number (395841600).

Almost surely, 2^61412866944 is an apocalyptic number.

61412866944 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 61412866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101335449600).

61412866944 is an abundant number, since it is smaller than the sum of its proper divisors (141258032256).

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

61412866944 is a wasteful number, since it uses less digits than its factorization.

61412866944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The spelling of 61412866944 in words is "sixty-one billion, four hundred twelve million, eight hundred sixty-six thousand, nine hundred forty-four".