112271523840 has 768 divisors, whose sum is σ = 453921624000. Its totient is φ = 25140658176.

The previous prime is 112271523817. The next prime is 112271523841. The reversal of 112271523840 is 48325172211.

112271523840 is a `hidden beast` number, since 1 + 1 + 2 + 271 + 5 + 2 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 112271523795 and 112271523804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112271523841) 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 47 ways as a sum of consecutive naturals, for example, 753500086 + ... + 753500234.

Almost surely, 2^112271523840 is an apocalyptic number.

112271523840 is a gapful number since it is divisible by the number (10) 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 112271523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226960812000).

112271523840 is an abundant number, since it is smaller than the sum of its proper divisors (341650100160).

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

112271523840 is an equidigital number, since it uses as much as digits as its factorization.

112271523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

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

The spelling of 112271523840 in words is "one hundred twelve billion, two hundred seventy-one million, five hundred twenty-three thousand, eight hundred forty".