61234318795104 has 480 divisors, whose sum is σ = 225829369846080. Its totient is φ = 15844995698688.

The previous prime is 61234318795061. The next prime is 61234318795127. The reversal of 61234318795104 is 40159781343216.

61234318795104 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 43 + 1 + 87 + 9 + 510 + 4 = 666.

61234318795104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10052082 + ... + 14950350.

It is an arithmetic number, because the mean of its divisors is an integer number (470477853846).

It is a 2-persistent number, because it is pandigital, and so is 2⋅61234318795104 = 122468637590208, but 3⋅61234318795104 = 183702956385312 is not.

Almost surely, 2^{61234318795104} 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 61234318795104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112914684923040).

61234318795104 is an abundant number, since it is smaller than the sum of its proper divisors (164595051050976).

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

61234318795104 is a wasteful number, since it uses less digits than its factorization.

61234318795104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898364 (or 4898347 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 61234318795104 in words is "sixty-one trillion, two hundred thirty-four billion, three hundred eighteen million, seven hundred ninety-five thousand, one hundred four".