21146542000304 has 160 divisors (see below), whose sum is σ = 50215078279296. Its totient is φ = 8420681318400.

The previous prime is 21146542000303. The next prime is 21146542000319. The reversal of 21146542000304 is 40300024564112.

It is a super-3 number, since 3×21146542000304³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21146542000303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73917122 + ... + 74202654.

Almost surely, 2^{21146542000304} 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 21146542000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25107539139648).

21146542000304 is an abundant number, since it is smaller than the sum of its proper divisors (29068536278992).

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

21146542000304 is a wasteful number, since it uses less digits than its factorization.

21146542000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286063 (or 286057 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 21146542000304 its reverse (40300024564112), we get a palindrome (61446566564416).

The spelling of 21146542000304 in words is "twenty-one trillion, one hundred forty-six billion, five hundred forty-two million, three hundred four", and thus it is an aban number.