123642890688 has 168 divisors, whose sum is σ = 342708177168. Its totient is φ = 39338528768.

The previous prime is 123642890681. The next prime is 123642890719. The reversal of 123642890688 is 886098246321.

It is a happy number.

It is a super-2 number, since 2×123642890688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123642890681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62666470 + ... + 62668442.

It is an arithmetic number, because the mean of its divisors is an integer number (2039929626).

Almost surely, 2^123642890688 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 123642890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171354088584).

123642890688 is an abundant number, since it is smaller than the sum of its proper divisors (219065286480).

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

123642890688 is a wasteful number, since it uses less digits than its factorization.

123642890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 123642890688 in words is "one hundred twenty-three billion, six hundred forty-two million, eight hundred ninety thousand, six hundred eighty-eight".