221149098529920 has 1280 divisors, whose sum is σ = 923234234186880. Its totient is φ = 49850149109760.

The previous prime is 221149098529913. The next prime is 221149098529979. The reversal of 221149098529920 is 29925890941122.

221149098529920 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 490 + 9 + 8 + 52 + 9 + 92 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 804471214 + ... + 804746066.

Almost surely, 2^{221149098529920} is an apocalyptic number.

221149098529920 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 221149098529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461617117093440).

221149098529920 is an abundant number, since it is smaller than the sum of its proper divisors (702085135656960).

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

221149098529920 is a wasteful number, since it uses less digits than its factorization.

221149098529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274995 (or 274974 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 221149098529920 in words is "two hundred twenty-one trillion, one hundred forty-nine billion, ninety-eight million, five hundred twenty-nine thousand, nine hundred twenty".