21663114000 has 480 divisors, whose sum is σ = 78355734912. Its totient is φ = 5143424000.

The previous prime is 21663113987. The next prime is 21663114001. The reversal of 21663114000 is 41136612.

It is a super-3 number, since 3×21663114000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21663114001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38477719 + ... + 38478281.

Almost surely, 2^21663114000 is an apocalyptic number.

21663114000 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 21663114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39177867456).

21663114000 is an abundant number, since it is smaller than the sum of its proper divisors (56692620912).

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

21663114000 is a wasteful number, since it uses less digits than its factorization.

21663114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 21663114000 in words is "twenty-one billion, six hundred sixty-three million, one hundred fourteen thousand".