23023352405664 has 288 divisors, whose sum is σ = 75426281920080. Its totient is φ = 6598658359296.

The previous prime is 23023352405659. The next prime is 23023352405693. The reversal of 23023352405664 is 46650425332032.

It is a happy number.

23023352405664 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 33 + 52 + 4 + 0 + 566 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4079026515600 + 18944325890064 = 2019660^2 + 4352508^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 4309272 + ... + 8038440.

Almost surely, 2^{23023352405664} is an apocalyptic number.

23023352405664 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 23023352405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37713140960040).

23023352405664 is an abundant number, since it is smaller than the sum of its proper divisors (52402929514416).

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

23023352405664 is a wasteful number, since it uses less digits than its factorization.

23023352405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729312 (or 3729301 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

Adding to 23023352405664 its reverse (46650425332032), we get a palindrome (69673777737696).

The spelling of 23023352405664 in words is "twenty-three trillion, twenty-three billion, three hundred fifty-two million, four hundred five thousand, six hundred sixty-four".