113282547840 has 1024 divisors, whose sum is σ = 526652928000. Its totient is φ = 22295347200.

The previous prime is 113282547827. The next prime is 113282547863. The reversal of 113282547840 is 48745282311.

113282547840 is a `hidden beast` number, since 1 + 1 + 3 + 28 + 2 + 547 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25278400 + ... + 25282880.

It is an arithmetic number, because the mean of its divisors is an integer number (514309500).

Almost surely, 2^113282547840 is an apocalyptic number.

113282547840 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 113282547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263326464000).

113282547840 is an abundant number, since it is smaller than the sum of its proper divisors (413370380160).

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

113282547840 is a wasteful number, since it uses less digits than its factorization.

113282547840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 113282547840 in words is "one hundred thirteen billion, two hundred eighty-two million, five hundred forty-seven thousand, eight hundred forty".