21663400414212 has 72 divisors (see below), whose sum is σ = 55499251435992. Its totient is φ = 7124193216000.

The previous prime is 21663400414177. The next prime is 21663400414237. The reversal of 21663400414212 is 21241400436612.

21663400414212 is a `hidden beast` number, since 2 + 1 + 6 + 634 + 0 + 0 + 4 + 1 + 4 + 2 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7761717992196 + 13901682422016 = 2785986^2 + 3728496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9579763 + ... + 11623194.

It is an arithmetic number, because the mean of its divisors is an integer number (770822936611).

Almost surely, 2^{21663400414212} is an apocalyptic number.

It is an amenable number.

21663400414212 is an abundant number, since it is smaller than the sum of its proper divisors (33835851021780).

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

21663400414212 is a wasteful number, since it uses less digits than its factorization.

21663400414212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21203349 (or 21203344 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 21663400414212 in words is "twenty-one trillion, six hundred sixty-three billion, four hundred million, four hundred fourteen thousand, two hundred twelve".