112803446859264 has 640 divisors, whose sum is σ = 383754621465600. Its totient is φ = 32048446832640.

The previous prime is 112803446859227. The next prime is 112803446859287. The reversal of 112803446859264 is 462958644308211.

112803446859264 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 0 + 34 + 4 + 6 + 8 + 592 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36282869742 + ... + 36282872850.

It is an arithmetic number, because the mean of its divisors is an integer number (599616596040).

Almost surely, 2^{112803446859264} is an apocalyptic number.

112803446859264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112803446859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191877310732800).

112803446859264 is an abundant number, since it is smaller than the sum of its proper divisors (270951174606336).

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

112803446859264 is a wasteful number, since it uses less digits than its factorization.

112803446859264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 112803446859264 in words is "one hundred twelve trillion, eight hundred three billion, four hundred forty-six million, eight hundred fifty-nine thousand, two hundred sixty-four".