221876616000 has 224 divisors, whose sum is σ = 788994355968. Its totient is φ = 54615705600.

The previous prime is 221876615977. The next prime is 221876616001. The reversal of 221876616000 is 616678122.

It is a super-2 number, since 2×221876616000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 221876616000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221876616001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43572 + ... + 667571.

It is an arithmetic number, because the mean of its divisors is an integer number (3522296232).

Almost surely, 2^221876616000 is an apocalyptic number.

221876616000 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 221876616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394497177984).

221876616000 is an abundant number, since it is smaller than the sum of its proper divisors (567117739968).

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

221876616000 is a wasteful number, since it uses less digits than its factorization.

221876616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711186 (or 711166 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 221876616000 in words is "two hundred twenty-one billion, eight hundred seventy-six million, six hundred sixteen thousand".