112948480 has 36 divisors (see below), whose sum is σ = 270549972. Its totient is φ = 45178880.

The previous prime is 112948471. The next prime is 112948489. The reversal of 112948480 is 84849211.

It is an interprime number because it is at equal distance from previous prime (112948471) and next prime (112948489).

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 30647296 = 9072^2 + 5536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112948489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42841 + ... + 45400.

It is an arithmetic number, because the mean of its divisors is an integer number (7515277).

Almost surely, 2^112948480 is an apocalyptic number.

112948480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112948480 is an abundant number, since it is smaller than the sum of its proper divisors (157601492).

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

112948480 is an frugal number, since it uses more digits than its factorization.

112948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88262 (or 88248 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 112948480 is about 10627.7222395017. The cubic root of 112948480 is about 483.3853272115.

The spelling of 112948480 in words is "one hundred twelve million, nine hundred forty-eight thousand, four hundred eighty".