84564410112 has 648 divisors, whose sum is σ = 308227972416. Its totient is φ = 22100262912.

The previous prime is 84564410111. The next prime is 84564410129. The reversal of 84564410112 is 21101446548.

84564410112 is a `hidden beast` number, since 8 + 4 + 5 + 644 + 1 + 0 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×84564410112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84564410111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230420553 + ... + 230420919.

Almost surely, 2^84564410112 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 84564410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154113986208).

84564410112 is an abundant number, since it is smaller than the sum of its proper divisors (223663562304).

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

84564410112 is a wasteful number, since it uses less digits than its factorization.

84564410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 84564410112 in words is "eighty-four billion, five hundred sixty-four million, four hundred ten thousand, one hundred twelve".