221471011728000 has 1024 divisors, whose sum is σ = 820776424665600. Its totient is φ = 58695985152000.

The previous prime is 221471011727981. The next prime is 221471011728017. The reversal of 221471011728000 is 827110174122.

221471011728000 is a `hidden beast` number, since 221 + 47 + 1 + 0 + 117 + 280 + 0 + 0 = 666.

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

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, 90878542782 + ... + 90878545218.

Almost surely, 2^{221471011728000} is an apocalyptic number.

221471011728000 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 221471011728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410388212332800).

221471011728000 is an abundant number, since it is smaller than the sum of its proper divisors (599305412937600).

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

221471011728000 is a wasteful number, since it uses less digits than its factorization.

221471011728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 221471011728000 in words is "two hundred twenty-one trillion, four hundred seventy-one billion, eleven million, seven hundred twenty-eight thousand".