112941158400 has 1404 divisors, whose sum is σ = 489956820444. Its totient is φ = 24772608000.

The previous prime is 112941158389. The next prime is 112941158413. The reversal of 112941158400 is 4851149211.

112941158400 is a `hidden beast` number, since 1 + 12 + 94 + 1 + 158 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49775394816 + 63165763584 = 223104^2 + 251328^2 .

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 107 ways as a sum of consecutive naturals, for example, 1851494370 + ... + 1851494430.

Almost surely, 2^112941158400 is an apocalyptic number.

112941158400 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 112941158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244978410222).

112941158400 is an abundant number, since it is smaller than the sum of its proper divisors (377015662044).

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

112941158400 is a wasteful number, since it uses less digits than its factorization.

112941158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

It can be divided in two parts, 1129411 and 58400, that added together give a palindrome (1187811).

The spelling of 112941158400 in words is "one hundred twelve billion, nine hundred forty-one million, one hundred fifty-eight thousand, four hundred".