112310131301664 has 288 divisors, whose sum is σ = 308792144868480. Its totient is φ = 35736958402560.

The previous prime is 112310131301659. The next prime is 112310131301699. The reversal of 112310131301664 is 466103131013211.

It is a super-2 number, since 2×112310131301664² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2442085582 + ... + 2442131570.

It is an arithmetic number, because the mean of its divisors is an integer number (1072194947460).

Almost surely, 2^{112310131301664} 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 112310131301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154396072434240).

112310131301664 is an abundant number, since it is smaller than the sum of its proper divisors (196482013566816).

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

112310131301664 is a wasteful number, since it uses less digits than its factorization.

112310131301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46424 (or 46385 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

Adding to 112310131301664 its reverse (466103131013211), we get a palindrome (578413262314875).

The spelling of 112310131301664 in words is "one hundred twelve trillion, three hundred ten billion, one hundred thirty-one million, three hundred one thousand, six hundred sixty-four".