248756112 has 120 divisors (see below), whose sum is σ = 767763360. Its totient is φ = 74557440.

The previous prime is 248756107. The next prime is 248756117. The reversal of 248756112 is 211657842.

248756112 is a `hidden beast` number, since 2 + 4 + 87 + 561 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (248756107) and next prime (248756117).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248756117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152839 + ... + 154457.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2^248756112 is an apocalyptic number.

248756112 is a gapful number since it is divisible by the number (22) 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 248756112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

248756112 is an abundant number, since it is smaller than the sum of its proper divisors (519007248).

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

248756112 is a wasteful number, since it uses less digits than its factorization.

248756112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1732 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 248756112 is about 15772.0040578235. The cubic root of 248756112 is about 628.9139868720.

The spelling of 248756112 in words is "two hundred forty-eight million, seven hundred fifty-six thousand, one hundred twelve".