23354804340 has 432 divisors, whose sum is σ = 88118830800. Its totient is φ = 4974649344.

The previous prime is 23354804339. The next prime is 23354804359. The reversal of 23354804340 is 4340845332.

23354804340 is a `hidden beast` number, since 2 + 33 + 548 + 0 + 43 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 161951076 + 23192853264 = 12726^2 + 152292^2 .

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 = 23354804295 and 23354804304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16342746 + ... + 16344174.

It is an arithmetic number, because the mean of its divisors is an integer number (203978775).

Almost surely, 2^23354804340 is an apocalyptic number.

23354804340 is a gapful number since it is divisible by the number (20) 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 23354804340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44059415400).

23354804340 is an abundant number, since it is smaller than the sum of its proper divisors (64764026460).

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

23354804340 is a wasteful number, since it uses less digits than its factorization.

23354804340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23354804340 in words is "twenty-three billion, three hundred fifty-four million, eight hundred four thousand, three hundred forty".