112436436420 has 768 divisors, whose sum is σ = 473982566400. Its totient is φ = 21415104000.

The previous prime is 112436436407. The next prime is 112436436433. The reversal of 112436436420 is 24634634211.

112436436420 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 3 + 6 + 4 + 3 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112436436407) and next prime (112436436433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24488325 + ... + 24492915.

It is an arithmetic number, because the mean of its divisors is an integer number (617164800).

Almost surely, 2^112436436420 is an apocalyptic number.

112436436420 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 112436436420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236991283200).

112436436420 is an abundant number, since it is smaller than the sum of its proper divisors (361546129980).

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

112436436420 is a wasteful number, since it uses less digits than its factorization.

112436436420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 112436436420 in words is "one hundred twelve billion, four hundred thirty-six million, four hundred thirty-six thousand, four hundred twenty".