21819931632432 has 40 divisors (see below), whose sum is σ = 62631285242480. Its totient is φ = 7273310544000.

The previous prime is 21819931632427. The next prime is 21819931632437. The reversal of 21819931632432 is 23423613991812.

It is a happy number.

21819931632432 is a `hidden beast` number, since 2 + 1 + 8 + 199 + 3 + 16 + 3 + 2 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (21819931632427) and next prime (21819931632437).

It is a super-2 number, since 2×21819931632432² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (21819931632437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25254550069 + ... + 25254550932.

It is an arithmetic number, because the mean of its divisors is an integer number (1565782131062).

Almost surely, 2^{21819931632432} is an apocalyptic number.

It is an amenable number.

21819931632432 is an abundant number, since it is smaller than the sum of its proper divisors (40811353610048).

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

21819931632432 is a wasteful number, since it uses less digits than its factorization.

21819931632432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50509101018 (or 50509101006 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 21819931632432 in words is "twenty-one trillion, eight hundred nineteen billion, nine hundred thirty-one million, six hundred thirty-two thousand, four hundred thirty-two".