112017110768640 has 4928 divisors, whose sum is σ = 539470886151168. Its totient is φ = 21594636288000.

The previous prime is 112017110768567. The next prime is 112017110768659. The reversal of 112017110768640 is 46867011710211.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 493467448207 + ... + 493467448433.

Almost surely, 2^{112017110768640} is an apocalyptic number.

112017110768640 is a gapful number since it is divisible by the number (10) 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 112017110768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269735443075584).

112017110768640 is an abundant number, since it is smaller than the sum of its proper divisors (427453775382528).

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

112017110768640 is a wasteful number, since it uses less digits than its factorization.

112017110768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

It can be divided in two parts, 1120171 and 10768640, that added together give a palindrome (11888811).

The spelling of 112017110768640 in words is "one hundred twelve trillion, seventeen billion, one hundred ten million, seven hundred sixty-eight thousand, six hundred forty".