112459776 has 152 divisors (see below), whose sum is σ = 352320864. Its totient is φ = 31457280.

The previous prime is 112459751. The next prime is 112459801. The reversal of 112459776 is 677954211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112459751) and next prime (112459801).

Its product of digits (105840) is a multiple of the sum of its prime factors (63).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8650746 + ... + 8650758.

Almost surely, 2^112459776 is an apocalyptic number.

112459776 is a gapful number since it is divisible by the number (16) 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 112459776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160432).

112459776 is an abundant number, since it is smaller than the sum of its proper divisors (239861088).

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

112459776 is an frugal number, since it uses more digits than its factorization.

112459776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 112459776 is about 10604.7053707305. The cubic root of 112459776 is about 482.6871508592.

The spelling of 112459776 in words is "one hundred twelve million, four hundred fifty-nine thousand, seven hundred seventy-six".