23552431403424 has 480 divisors, whose sum is σ = 78846265935360. Its totient is φ = 6104732659200.

The previous prime is 23552431403407. The next prime is 23552431403437. The reversal of 23552431403424 is 42430413425532.

It is a super-3 number, since 3×23552431403424³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1244899437 + ... + 1244918355.

It is an arithmetic number, because the mean of its divisors is an integer number (164263054032).

Almost surely, 2^{23552431403424} is an apocalyptic number.

23552431403424 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 23552431403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39423132967680).

23552431403424 is an abundant number, since it is smaller than the sum of its proper divisors (55293834531936).

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

23552431403424 is a wasteful number, since it uses less digits than its factorization.

23552431403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19462 (or 19433 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 23552431403424 its reverse (42430413425532), we get a palindrome (65982844828956).

The spelling of 23552431403424 in words is "twenty-three trillion, five hundred fifty-two billion, four hundred thirty-one million, four hundred three thousand, four hundred twenty-four".