112981638401 has 2 divisors, whose sum is σ = 112981638402. Its totient is φ = 112981638400.

The previous prime is 112981638377. The next prime is 112981638467. The reversal of 112981638401 is 104836189211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72339481600 + 40642156801 = 268960^2 + 201599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112981638401 is a prime.

It is not a weakly prime, because it can be changed into another prime (112981638491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56490819200 + 56490819201.

It is an arithmetic number, because the mean of its divisors is an integer number (56490819201).

Almost surely, 2^112981638401 is an apocalyptic number.

It is an amenable number.

112981638401 is a deficient number, since it is larger than the sum of its proper divisors (1).

112981638401 is an equidigital number, since it uses as much as digits as its factorization.

112981638401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 112981638401 in words is "one hundred twelve billion, nine hundred eighty-one million, six hundred thirty-eight thousand, four hundred one".