21454486200 has 960 divisors, whose sum is σ = 93336883200. Its totient is φ = 4454092800.

The previous prime is 21454486199. The next prime is 21454486237. The reversal of 21454486200 is 268445412.

21454486200 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 448 + 6 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59761621 + ... + 59761979.

It is an arithmetic number, because the mean of its divisors is an integer number (97225920).

Almost surely, 2^21454486200 is an apocalyptic number.

21454486200 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 21454486200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46668441600).

21454486200 is an abundant number, since it is smaller than the sum of its proper divisors (71882397000).

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

21454486200 is a wasteful number, since it uses less digits than its factorization.

21454486200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 21454486200 in words is "twenty-one billion, four hundred fifty-four million, four hundred eighty-six thousand, two hundred".