112458978 has 48 divisors (see below), whose sum is σ = 259290720. Its totient is φ = 35104128.

The previous prime is 112458919. The next prime is 112459001. The reversal of 112458978 is 879854211.

It is a super-3 number, since 3×112458978³ (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 68653 + ... + 70271.

It is an arithmetic number, because the mean of its divisors is an integer number (5401890).

Almost surely, 2^112458978 is an apocalyptic number.

112458978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112458978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129645360).

112458978 is an abundant number, since it is smaller than the sum of its proper divisors (146831742).

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

112458978 is a wasteful number, since it uses less digits than its factorization.

112458978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1868 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 112458978 is about 10604.6677458561. The cubic root of 112458978 is about 482.6860091613.

The spelling of 112458978 in words is "one hundred twelve million, four hundred fifty-eight thousand, nine hundred seventy-eight".