61413482317824 has 1728 divisors, whose sum is σ = 225213956997120. Its totient is φ = 15781761515520.

The previous prime is 61413482317813. The next prime is 61413482317849. The reversal of 61413482317824 is 42871328431416.

61413482317824 is a `hidden beast` number, since 6 + 1 + 41 + 3 + 482 + 31 + 78 + 24 = 666.

It is a super-2 number, since 2×61413482317824² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 185539221339 + ... + 185539221669.

It is an arithmetic number, because the mean of its divisors is an integer number (130332151040).

Almost surely, 2^{61413482317824} is an apocalyptic number.

61413482317824 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 61413482317824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112606978498560).

61413482317824 is an abundant number, since it is smaller than the sum of its proper divisors (163800474679296).

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

61413482317824 is a wasteful number, since it uses less digits than its factorization.

61413482317824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 550 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 61413482317824 in words is "sixty-one trillion, four hundred thirteen billion, four hundred eighty-two million, three hundred seventeen thousand, eight hundred twenty-four".