23476368400 has 135 divisors (see below), whose sum is σ = 57983262141. Its totient is φ = 9134363520.

The previous prime is 23476368379. The next prime is 23476368401. The reversal of 23476368400 is 486367432.

It is a happy number.

The square root of 23476368400 is 153220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8451492624 + 15024875776 = 91932^2 + 122576^2 .

It is a super-2 number, since 2×23476368400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23476368401) 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 26 ways as a sum of consecutive naturals, for example, 144026719 + ... + 144026881.

Almost surely, 2^23476368400 is an apocalyptic number.

23476368400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23476368400 is the 153220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23476368400

23476368400 is an abundant number, since it is smaller than the sum of its proper divisors (34506893741).

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

23476368400 is an equidigital number, since it uses as much as digits as its factorization.

23476368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

It can be divided in two parts, 23476 and 368400, that added together give a square (391876 = 626²).

The spelling of 23476368400 in words is "twenty-three billion, four hundred seventy-six million, three hundred sixty-eight thousand, four hundred".