23045432400 has 90 divisors (see below), whose sum is σ = 79974064430. Its totient is φ = 6145447680.

The previous prime is 23045432357. The next prime is 23045432401. The reversal of 23045432400 is 423454032.

It can be written as a sum of positive squares in 3 ways, for example, as 1605444624 + 21439987776 = 40068^2 + 146424^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23045432401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3197155 + ... + 3204354.

Almost surely, 2^23045432400 is an apocalyptic number.

23045432400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23045432400 is an abundant number, since it is smaller than the sum of its proper divisors (56928632030).

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

23045432400 is a wasteful number, since it uses less digits than its factorization.

23045432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401533 (or 6401519 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23045432400 its reverse (423454032), we get a palindrome (23468886432).

The spelling of 23045432400 in words is "twenty-three billion, forty-five million, four hundred thirty-two thousand, four hundred".