21218629332096 has 448 divisors, whose sum is σ = 73799040669120. Its totient is φ = 5948069677056.

The previous prime is 21218629332077. The next prime is 21218629332161. The reversal of 21218629332096 is 69023392681212.

21218629332096 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 8 + 629 + 3 + 3 + 2 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34312291 + ... + 34925213.

Almost surely, 2^{21218629332096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21218629332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36899520334560).

21218629332096 is an abundant number, since it is smaller than the sum of its proper divisors (52580411337024).

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

21218629332096 is an frugal number, since it uses more digits than its factorization.

21218629332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613015 (or 612988 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 21218629332096 in words is "twenty-one trillion, two hundred eighteen billion, six hundred twenty-nine million, three hundred thirty-two thousand, ninety-six".