23449118400 has 252 divisors, whose sum is σ = 84489185352. Its totient is φ = 6167162880.

The previous prime is 23449118393. The next prime is 23449118423. The reversal of 23449118400 is 481194432.

It is a happy number.

23449118400 is a `hidden beast` number, since 234 + 4 + 9 + 1 + 18 + 400 = 666.

It is a super-2 number, since 2×23449118400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1040047 + ... + 1062353.

Almost surely, 2^23449118400 is an apocalyptic number.

23449118400 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 23449118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42244592676).

23449118400 is an abundant number, since it is smaller than the sum of its proper divisors (61040066952).

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

23449118400 is a wasteful number, since it uses less digits than its factorization.

23449118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22408 (or 22390 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23449118400 in words is "twenty-three billion, four hundred forty-nine million, one hundred eighteen thousand, four hundred".