221650466400 has 864 divisors, whose sum is σ = 894992716800. Its totient is φ = 51093504000.

The previous prime is 221650466381. The next prime is 221650466441. The reversal of 221650466400 is 4664056122.

221650466400 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 5 + 0 + 4 + 6 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 493653376 + ... + 493653824.

It is an arithmetic number, because the mean of its divisors is an integer number (1035871200).

Almost surely, 2^221650466400 is an apocalyptic number.

221650466400 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 221650466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447496358400).

221650466400 is an abundant number, since it is smaller than the sum of its proper divisors (673342250400).

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

221650466400 is a wasteful number, since it uses less digits than its factorization.

221650466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 221650466400 in words is "two hundred twenty-one billion, six hundred fifty million, four hundred sixty-six thousand, four hundred".