861874716384 has 192 divisors, whose sum is σ = 2744134848000. Its totient is φ = 261002142720.

The previous prime is 861874716383. The next prime is 861874716413. The reversal of 861874716384 is 483617478168.

861874716384 is a `hidden beast` number, since 8 + 6 + 1 + 87 + 471 + 6 + 3 + 84 = 666.

It is a super-3 number, since 3×861874716384³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861874716383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14787652 + ... + 14845820.

It is an arithmetic number, because the mean of its divisors is an integer number (14292369000).

Almost surely, 2^861874716384 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 861874716384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372067424000).

861874716384 is an abundant number, since it is smaller than the sum of its proper divisors (1882260131616).

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

861874716384 is a wasteful number, since it uses less digits than its factorization.

861874716384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59758 (or 59744 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 861874716384 in words is "eight hundred sixty-one billion, eight hundred seventy-four million, seven hundred sixteen thousand, three hundred eighty-four".