21498768192 has 224 divisors, whose sum is σ = 63266531328. Its totient is φ = 6388480000.

The previous prime is 21498768167. The next prime is 21498768197. The reversal of 21498768192 is 29186789412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21498768197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46634842 + ... + 46635302.

It is an arithmetic number, because the mean of its divisors is an integer number (282439872).

Almost surely, 2^21498768192 is an apocalyptic number.

21498768192 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 21498768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31633265664).

21498768192 is an abundant number, since it is smaller than the sum of its proper divisors (41767763136).

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

21498768192 is a wasteful number, since it uses less digits than its factorization.

21498768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The spelling of 21498768192 in words is "twenty-one billion, four hundred ninety-eight million, seven hundred sixty-eight thousand, one hundred ninety-two".