61945458192 has 120 divisors (see below), whose sum is σ = 174356644280. Its totient is φ = 20530298880.

The previous prime is 61945458167. The next prime is 61945458209. The reversal of 61945458192 is 29185454916.

61945458192 is a `hidden beast` number, since 6 + 1 + 9 + 4 + 54 + 581 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1151652096 + 60793806096 = 33936^2 + 246564^2 .

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 23 ways as a sum of consecutive naturals, for example, 19846392 + ... + 19849512.

Almost surely, 2^61945458192 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 61945458192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87178322140).

61945458192 is an abundant number, since it is smaller than the sum of its proper divisors (112411186088).

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

61945458192 is a wasteful number, since it uses less digits than its factorization.

61945458192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3872 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 61945458192 in words is "sixty-one billion, nine hundred forty-five million, four hundred fifty-eight thousand, one hundred ninety-two".