112351916544 has 160 divisors (see below), whose sum is σ = 349054147200. Its totient is φ = 32100397056.

The previous prime is 112351916531. The next prime is 112351916603. The reversal of 112351916544 is 445619153211.

It is a super-2 number, since 2×112351916544² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 112351916496 and 112351916505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420222 + ... + 633474.

It is an arithmetic number, because the mean of its divisors is an integer number (2181588420).

Almost surely, 2^112351916544 is an apocalyptic number.

112351916544 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 112351916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174527073600).

112351916544 is an abundant number, since it is smaller than the sum of its proper divisors (236702230656).

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

112351916544 is an frugal number, since it uses more digits than its factorization.

112351916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213295 (or 213265 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

It can be divided in two parts, 112351 and 916544, that added together give a triangular number (1028895 = T₁₄₃₄).

The spelling of 112351916544 in words is "one hundred twelve billion, three hundred fifty-one million, nine hundred sixteen thousand, five hundred forty-four".