23206345344 has 512 divisors, whose sum is σ = 85172774400. Its totient is φ = 6056902656.

The previous prime is 23206345313. The next prime is 23206345373. The reversal of 23206345344 is 44354360232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23206345299 and 23206345308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35537722 + ... + 35538374.

It is an arithmetic number, because the mean of its divisors is an integer number (166353075).

Almost surely, 2^23206345344 is an apocalyptic number.

23206345344 is a gapful number since it is divisible by the number (24) 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 23206345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42586387200).

23206345344 is an abundant number, since it is smaller than the sum of its proper divisors (61966429056).

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

23206345344 is a wasteful number, since it uses less digits than its factorization.

23206345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 23206345344 in words is "twenty-three billion, two hundred six million, three hundred forty-five thousand, three hundred forty-four".