112857948 has 192 divisors, whose sum is σ = 360012800. Its totient is φ = 30233088.

The previous prime is 112857923. The next prime is 112857961. The reversal of 112857948 is 849758211.

112857948 is a `hidden beast` number, since 11 + 28 + 579 + 48 = 666.

Its product of digits (161280) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1163436 + ... + 1163532.

Almost surely, 2^112857948 is an apocalyptic number.

112857948 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 112857948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180006400).

112857948 is an abundant number, since it is smaller than the sum of its proper divisors (247154852).

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

112857948 is an equidigital number, since it uses as much as digits as its factorization.

112857948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

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

The square root of 112857948 is about 10623.4621475299. The cubic root of 112857948 is about 483.2561428322.

The spelling of 112857948 in words is "one hundred twelve million, eight hundred fifty-seven thousand, nine hundred forty-eight".