112247654400 has 1728 divisors, whose sum is σ = 513304646400. Its totient is φ = 22837985280.

The previous prime is 112247654287. The next prime is 112247654461. The reversal of 112247654400 is 4456742211.

112247654400 is a `hidden beast` number, since 1 + 1 + 2 + 247 + 6 + 5 + 4 + 400 = 666.

112247654400 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 (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1261209556 + ... + 1261209644.

It is an arithmetic number, because the mean of its divisors is an integer number (297051300).

Almost surely, 2^112247654400 is an apocalyptic number.

112247654400 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 112247654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256652323200).

112247654400 is an abundant number, since it is smaller than the sum of its proper divisors (401056992000).

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

112247654400 is a wasteful number, since it uses less digits than its factorization.

112247654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 112247654400 in words is "one hundred twelve billion, two hundred forty-seven million, six hundred fifty-four thousand, four hundred".