21985546932 has 192 divisors, whose sum is σ = 60707001600. Its totient is φ = 6868592640.

The previous prime is 21985546901. The next prime is 21985546937. The reversal of 21985546932 is 23964558912.

21985546932 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 5 + 546 + 93 + 2 = 666.

It is a super-2 number, since 2×21985546932² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21985546937) 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 63 ways as a sum of consecutive naturals, for example, 40192683 + ... + 40193229.

It is an arithmetic number, because the mean of its divisors is an integer number (316182300).

Almost surely, 2^21985546932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21985546932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30353500800).

21985546932 is an abundant number, since it is smaller than the sum of its proper divisors (38721454668).

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

21985546932 is a wasteful number, since it uses less digits than its factorization.

21985546932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 21985546932 in words is "twenty-one billion, nine hundred eighty-five million, five hundred forty-six thousand, nine hundred thirty-two".