112361418810 has 336 divisors, whose sum is σ = 318508445592. Its totient is φ = 28514903040.

The previous prime is 112361418797. The next prime is 112361418833. The reversal of 112361418810 is 18814163211.

112361418810 is a `hidden beast` number, since 1 + 1 + 23 + 614 + 1 + 8 + 8 + 10 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1406475009 + 110954943801 = 37503^2 + 333099^2 .

It is a super-3 number, since 3×112361418810³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 649487884 + ... + 649488056.

Almost surely, 2^112361418810 is an apocalyptic number.

112361418810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112361418810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159254222796).

112361418810 is an abundant number, since it is smaller than the sum of its proper divisors (206147026782).

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

112361418810 is an equidigital number, since it uses as much as digits as its factorization.

112361418810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 112361418810 in words is "one hundred twelve billion, three hundred sixty-one million, four hundred eighteen thousand, eight hundred ten".