61615603738368 has 216 divisors, whose sum is σ = 180724741470000. Its totient is φ = 20183640440832.

The previous prime is 61615603738357. The next prime is 61615603738373. The reversal of 61615603738368 is 86383730651616.

61615603738368 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 560 + 3 + 7 + 3 + 8 + 3 + 68 = 666.

61615603738368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412763008 + ... + 412912256.

Almost surely, 2^{61615603738368} 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 61615603738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90362370735000).

61615603738368 is an abundant number, since it is smaller than the sum of its proper divisors (119109137731632).

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

61615603738368 is a wasteful number, since it uses less digits than its factorization.

61615603738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152367 (or 152350 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 61615603738368 in words is "sixty-one trillion, six hundred fifteen billion, six hundred three million, seven hundred thirty-eight thousand, three hundred sixty-eight".