112134606403664 has 80 divisors (see below), whose sum is σ = 234841746114192. Its totient is φ = 51562411536384.

The previous prime is 112134606403661. The next prime is 112134606403667. The reversal of 112134606403664 is 466304606431211.

It is an interprime number because it is at equal distance from previous prime (112134606403661) and next prime (112134606403667).

It can be written as a sum of positive squares in 8 ways, for example, as 2456993550400 + 109677612853264 = 1567480^2 + 10472708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112134606403661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205291364 + ... + 205836860.

Almost surely, 2^{112134606403664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112134606403664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117420873057096).

112134606403664 is an abundant number, since it is smaller than the sum of its proper divisors (122707139710528).

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

112134606403664 is a wasteful number, since it uses less digits than its factorization.

112134606403664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549184 (or 549178 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 112134606403664 in words is "one hundred twelve trillion, one hundred thirty-four billion, six hundred six million, four hundred three thousand, six hundred sixty-four".