21481464358200 has 288 divisors, whose sum is σ = 84507045845760. Its totient is φ = 4463680838400.

The previous prime is 21481464358127. The next prime is 21481464358241. The reversal of 21481464358200 is 285346418412.

It is a super-2 number, since 2×21481464358200² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21481464358200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32888512 + ... + 33535311.

It is an arithmetic number, because the mean of its divisors is an integer number (293427242520).

Almost surely, 2^{21481464358200} is an apocalyptic number.

21481464358200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21481464358200 is an abundant number, since it is smaller than the sum of its proper divisors (63025581487560).

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

21481464358200 is a wasteful number, since it uses less digits than its factorization.

21481464358200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66423867 (or 66423851 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 21481464358200 in words is "twenty-one trillion, four hundred eighty-one billion, four hundred sixty-four million, three hundred fifty-eight thousand, two hundred".