112236445440 has 648 divisors, whose sum is σ = 451871740320. Its totient is φ = 25193742336.

The previous prime is 112236445427. The next prime is 112236445457. The reversal of 112236445440 is 44544632211.

112236445440 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 644 + 5 + 4 + 4 + 0 = 666.

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 = 112236445395 and 112236445404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993242824 + ... + 993242936.

Almost surely, 2^112236445440 is an apocalyptic number.

112236445440 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 112236445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225935870160).

112236445440 is an abundant number, since it is smaller than the sum of its proper divisors (339635294880).

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

112236445440 is a wasteful number, since it uses less digits than its factorization.

112236445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 112236445440 in words is "one hundred twelve billion, two hundred thirty-six million, four hundred forty-five thousand, four hundred forty".