23205554064 has 720 divisors, whose sum is σ = 89509717440. Its totient is φ = 5527388160.

The previous prime is 23205554063. The next prime is 23205554129. The reversal of 23205554064 is 46045550232.

23205554064 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 55 + 540 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23205554063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56737092 + ... + 56737500.

It is an arithmetic number, because the mean of its divisors is an integer number (124319052).

Almost surely, 2^23205554064 is an apocalyptic number.

23205554064 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 23205554064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44754858720).

23205554064 is an abundant number, since it is smaller than the sum of its proper divisors (66304163376).

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

23205554064 is a wasteful number, since it uses less digits than its factorization.

23205554064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 23205554064 in words is "twenty-three billion, two hundred five million, five hundred fifty-four thousand, sixty-four".