861774230745792 has 896 divisors, whose sum is σ = 3305266201036800. Its totient is φ = 213668797612032.

The previous prime is 861774230745763. The next prime is 861774230745817. The reversal of 861774230745792 is 297547032477168.

861774230745792 is a `hidden beast` number, since 8 + 6 + 1 + 7 + 7 + 42 + 3 + 0 + 7 + 4 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 861774230745792.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2360267184 + ... + 2360632272.

It is an arithmetic number, because the mean of its divisors is an integer number (3688913170800).

It is a 1-persistent number, because it is pandigital, but 2⋅861774230745792 = 1723548461491584 is not.

Almost surely, 2^{861774230745792} 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 861774230745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652633100518400).

861774230745792 is an abundant number, since it is smaller than the sum of its proper divisors (2443491970291008).

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

861774230745792 is a wasteful number, since it uses less digits than its factorization.

861774230745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366030 (or 366014 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 861774230745792 in words is "eight hundred sixty-one trillion, seven hundred seventy-four billion, two hundred thirty million, seven hundred forty-five thousand, seven hundred ninety-two".