120616246637568 has 1408 divisors, whose sum is σ = 423300808212480. Its totient is φ = 33826089369600.

The previous prime is 120616246637543. The next prime is 120616246637687. The reversal of 120616246637568 is 865736642616021.

120616246637568 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 1 + 6 + 2 + 4 + 6 + 63 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26238032646 + ... + 26238037242.

It is an arithmetic number, because the mean of its divisors is an integer number (300639778560).

Almost surely, 2^{120616246637568} is an apocalyptic number.

120616246637568 is a gapful number since it is divisible by the number (18) 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 120616246637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211650404106240).

120616246637568 is an abundant number, since it is smaller than the sum of its proper divisors (302684561574912).

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

120616246637568 is a wasteful number, since it uses less digits than its factorization.

120616246637568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 120616246637568 in words is "one hundred twenty trillion, six hundred sixteen billion, two hundred forty-six million, six hundred thirty-seven thousand, five hundred sixty-eight".