22432432132224 has 128 divisors (see below), whose sum is σ = 66825587476800. Its totient is φ = 7407594289152.

The previous prime is 22432432132217. The next prime is 22432432132241. The reversal of 22432432132224 is 42223123423422.

22432432132224 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 2 + 4 + 321 + 322 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22432432132224² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 29961357 + ... + 30700940.

Almost surely, 2^{22432432132224} is an apocalyptic number.

22432432132224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22432432132224 is an abundant number, since it is smaller than the sum of its proper divisors (44393155344576).

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

22432432132224 is a wasteful number, since it uses less digits than its factorization.

22432432132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60662427 (or 60662409 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 22432432132224 its reverse (42223123423422), we get a palindrome (64655555555646).

The spelling of 22432432132224 in words is "twenty-two trillion, four hundred thirty-two billion, four hundred thirty-two million, one hundred thirty-two thousand, two hundred twenty-four".