61416166024368 has 240 divisors, whose sum is σ = 179978355648000. Its totient is φ = 19513793114112.

The previous prime is 61416166024277. The next prime is 61416166024379. The reversal of 61416166024368 is 86342066161416.

61416166024368 is a `hidden beast` number, since 6 + 1 + 4 + 16 + 16 + 602 + 4 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289175493 + ... + 1289223131.

It is an arithmetic number, because the mean of its divisors is an integer number (749909815200).

Almost surely, 2^{61416166024368} 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 61416166024368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89989177824000).

61416166024368 is an abundant number, since it is smaller than the sum of its proper divisors (118562189623632).

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

61416166024368 is a wasteful number, since it uses less digits than its factorization.

61416166024368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49024 (or 49015 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 61416166024368 in words is "sixty-one trillion, four hundred sixteen billion, one hundred sixty-six million, twenty-four thousand, three hundred sixty-eight".