23423524000 has 96 divisors (see below), whose sum is σ = 57627185616. Its totient is φ = 9357107200.

The previous prime is 23423523961. The next prime is 23423524009. The reversal of 23423524000 is 42532432.

It can be written as a sum of positive squares in 8 ways, for example, as 1149752464 + 22273771536 = 33908^2 + 149244^2 .

It is a super-4 number, since 4×23423524000⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23423524009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424584 + ... + 3431416.

Almost surely, 2^23423524000 is an apocalyptic number.

23423524000 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 23423524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28813592808).

23423524000 is an abundant number, since it is smaller than the sum of its proper divisors (34203661616).

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

23423524000 is an equidigital number, since it uses as much as digits as its factorization.

23423524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The spelling of 23423524000 in words is "twenty-three billion, four hundred twenty-three million, five hundred twenty-four thousand".