77045114561568 has 192 divisors, whose sum is σ = 209566743523200. Its totient is φ = 24766383882240.

The previous prime is 77045114561557. The next prime is 77045114561617. The reversal of 77045114561568 is 86516541154077.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236191655 + ... + 1236253977.

It is an arithmetic number, because the mean of its divisors is an integer number (1091493455850).

Almost surely, 2^{77045114561568} 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 77045114561568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104783371761600).

77045114561568 is an abundant number, since it is smaller than the sum of its proper divisors (132521628961632).

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

77045114561568 is a wasteful number, since it uses less digits than its factorization.

77045114561568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65995 (or 65987 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 60.

The spelling of 77045114561568 in words is "seventy-seven trillion, forty-five billion, one hundred fourteen million, five hundred sixty-one thousand, five hundred sixty-eight".