861112048896 has 864 divisors, whose sum is σ = 2966156323200. Its totient is φ = 244333117440.

The previous prime is 861112048847. The next prime is 861112048913. The reversal of 861112048896 is 698840211168.

It is a happy number.

861112048896 is a `hidden beast` number, since 8 + 61 + 1 + 12 + 0 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3760314510 + ... + 3760314738.

It is an arithmetic number, because the mean of its divisors is an integer number (3433051300).

Almost surely, 2^861112048896 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 861112048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483078161600).

861112048896 is an abundant number, since it is smaller than the sum of its proper divisors (2105044274304).

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

861112048896 is a wasteful number, since it uses less digits than its factorization.

861112048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 861112048896 in words is "eight hundred sixty-one billion, one hundred twelve million, forty-eight thousand, eight hundred ninety-six".