112355334400 has 108 divisors (see below), whose sum is σ = 279707261652. Its totient is φ = 44681912320.

The previous prime is 112355334391. The next prime is 112355334401. The reversal of 112355334400 is 4433553211.

It can be written as a sum of positive squares in 6 ways, for example, as 360696064 + 111994638336 = 18992^2 + 334656^2 .

It is not an unprimeable number, because it can be changed into a prime (112355334401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056462 + ... + 1157938.

Almost surely, 2^112355334400 is an apocalyptic number.

112355334400 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 112355334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139853630826).

112355334400 is an abundant number, since it is smaller than the sum of its proper divisors (167351927252).

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

112355334400 is a wasteful number, since it uses less digits than its factorization.

112355334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101676 (or 101657 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 112355334400 its reverse (4433553211), we get a palindrome (116788887611).

The spelling of 112355334400 in words is "one hundred twelve billion, three hundred fifty-five million, three hundred thirty-four thousand, four hundred".