21917466648000 has 6048 divisors, whose sum is σ = 112021901147520. Its totient is φ = 4138573824000.

The previous prime is 21917466647939. The next prime is 21917466648019. The reversal of 21917466648000 is 84666471912.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 755774711986 + ... + 755774712014.

It is an arithmetic number, because the mean of its divisors is an integer number (18522139740).

Almost surely, 2^{21917466648000} is an apocalyptic number.

21917466648000 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 21917466648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56010950573760).

21917466648000 is an abundant number, since it is smaller than the sum of its proper divisors (90104434499520).

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

21917466648000 is an equidigital number, since it uses as much as digits as its factorization.

21917466648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21917466648000 in words is "twenty-one trillion, nine hundred seventeen billion, four hundred sixty-six million, six hundred forty-eight thousand".