112280948928 has 112 divisors (see below), whose sum is σ = 330301762560. Its totient is φ = 37402428672.

The previous prime is 112280948921. The next prime is 112280948939. The reversal of 112280948928 is 829849082211.

112280948928 is a `hidden beast` number, since 112 + 28 + 0 + 9 + 489 + 28 = 666.

It is a super-2 number, since 2×112280948928² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112280948921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714901 + ... + 2755947.

It is an arithmetic number, because the mean of its divisors is an integer number (2949122880).

Almost surely, 2^112280948928 is an apocalyptic number.

112280948928 is a gapful number since it is divisible by the number (18) 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 112280948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165150881280).

112280948928 is an abundant number, since it is smaller than the sum of its proper divisors (218020813632).

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

112280948928 is a wasteful number, since it uses less digits than its factorization.

112280948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42651 (or 42635 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

It can be divided in two parts, 112280 and 948928, that added together give a cube (1061208 = 102³).

The spelling of 112280948928 in words is "one hundred twelve billion, two hundred eighty million, nine hundred forty-eight thousand, nine hundred twenty-eight".