61980458144 has 192 divisors, whose sum is σ = 149343989760. Its totient is φ = 24983608320.

The previous prime is 61980458107. The next prime is 61980458149. The reversal of 61980458144 is 44185408916.

It is a happy number.

61980458144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61980458092 and 61980458101.

It is not an unprimeable number, because it can be changed into a prime (61980458149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7225442 + ... + 7234014.

It is an arithmetic number, because the mean of its divisors is an integer number (777833280).

Almost surely, 2^61980458144 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 61980458144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74671994880).

61980458144 is an abundant number, since it is smaller than the sum of its proper divisors (87363531616).

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

61980458144 is a wasteful number, since it uses less digits than its factorization.

61980458144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683 (or 8675 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 61980458144 in words is "sixty-one billion, nine hundred eighty million, four hundred fifty-eight thousand, one hundred forty-four".