112413200640 has 288 divisors, whose sum is σ = 395635658880. Its totient is φ = 27026915328.

The previous prime is 112413200623. The next prime is 112413200659. The reversal of 112413200640 is 46002314211.

112413200640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112413200640.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2120376 + ... + 2172744.

Almost surely, 2^112413200640 is an apocalyptic number.

112413200640 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 112413200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197817829440).

112413200640 is an abundant number, since it is smaller than the sum of its proper divisors (283222458240).

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

112413200640 is a wasteful number, since it uses less digits than its factorization.

112413200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52449 (or 52435 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 112413200640 its reverse (46002314211), we get a palindrome (158415514851).

The spelling of 112413200640 in words is "one hundred twelve billion, four hundred thirteen million, two hundred thousand, six hundred forty".