21624544542612 has 192 divisors, whose sum is σ = 56848871374848. Its totient is φ = 6341376000000.

The previous prime is 21624544542611. The next prime is 21624544542619.

21624544542612 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21624544542611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470556628 + ... + 470602580.

It is an arithmetic number, because the mean of its divisors is an integer number (296087871744).

Almost surely, 2^{21624544542612} is an apocalyptic number.

21624544542612 is a gapful number since it is divisible by the number (22) 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 21624544542612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28424435687424).

21624544542612 is an abundant number, since it is smaller than the sum of its proper divisors (35224326832236).

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

21624544542612 is a wasteful number, since it uses less digits than its factorization.

21624544542612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46870 (or 46868 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 21624544542612 in words is "twenty-one trillion, six hundred twenty-four billion, five hundred forty-four million, five hundred forty-two thousand, six hundred twelve".