221416632000 has 896 divisors, whose sum is σ = 859175116800. Its totient is φ = 55738368000.

The previous prime is 221416631987. The next prime is 221416632089. The reversal of 221416632000 is 236614122.

221416632000 is a `hidden beast` number, since 2 + 2 + 14 + 16 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287927616 + ... + 287928384.

It is an arithmetic number, because the mean of its divisors is an integer number (958900800).

Almost surely, 2^221416632000 is an apocalyptic number.

221416632000 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 221416632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429587558400).

221416632000 is an abundant number, since it is smaller than the sum of its proper divisors (637758484800).

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

221416632000 is a wasteful number, since it uses less digits than its factorization.

221416632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 221416632000 in words is "two hundred twenty-one billion, four hundred sixteen million, six hundred thirty-two thousand".