112642640264 has 128 divisors (see below), whose sum is σ = 265113388800. Its totient is φ = 43588976640.

The previous prime is 112642640251. The next prime is 112642640269. The reversal of 112642640264 is 462046246211.

It is not an unprimeable number, because it can be changed into a prime (112642640269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79944392 + ... + 79945800.

It is an arithmetic number, because the mean of its divisors is an integer number (2071198350).

Almost surely, 2^112642640264 is an apocalyptic number.

112642640264 is a gapful number since it is divisible by the number (14) 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 112642640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132556694400).

112642640264 is an abundant number, since it is smaller than the sum of its proper divisors (152470748536).

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

112642640264 is a wasteful number, since it uses less digits than its factorization.

112642640264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

Adding to 112642640264 its reverse (462046246211), we get a palindrome (574688886475).

The spelling of 112642640264 in words is "one hundred twelve billion, six hundred forty-two million, six hundred forty thousand, two hundred sixty-four".