61184250624 has 432 divisors, whose sum is σ = 197299307520. Its totient is φ = 16765378560.

The previous prime is 61184250563. The next prime is 61184250629. The reversal of 61184250624 is 42605248116.

It is a happy number.

61184250624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61184250629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208819822 + ... + 208820114.

It is an arithmetic number, because the mean of its divisors is an integer number (456711360).

Almost surely, 2^61184250624 is an apocalyptic number.

61184250624 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 61184250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98649653760).

61184250624 is an abundant number, since it is smaller than the sum of its proper divisors (136115056896).

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

61184250624 is a wasteful number, since it uses less digits than its factorization.

61184250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 61184250624 in words is "sixty-one billion, one hundred eighty-four million, two hundred fifty thousand, six hundred twenty-four".