21148489600 has 768 divisors, whose sum is σ = 69209856000. Its totient is φ = 6210846720.

The previous prime is 21148489589. The next prime is 21148489603. The reversal of 21148489600 is 698484112.

It is a super-2 number, since 2×21148489600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21148489603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267702361 + ... + 267702439.

It is an arithmetic number, because the mean of its divisors is an integer number (90117000).

Almost surely, 2^21148489600 is an apocalyptic number.

21148489600 is a gapful number since it is divisible by the number (20) 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 21148489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34604928000).

21148489600 is an abundant number, since it is smaller than the sum of its proper divisors (48061366400).

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

21148489600 is a wasteful number, since it uses less digits than its factorization.

21148489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 21148489600 in words is "twenty-one billion, one hundred forty-eight million, four hundred eighty-nine thousand, six hundred".