221094079016832 has 1536 divisors, whose sum is σ = 787778395200000. Its totient is φ = 61595334807552.

The previous prime is 221094079016803. The next prime is 221094079016873. The reversal of 221094079016832 is 238610970490122.

221094079016832 is a `hidden beast` number, since 2 + 2 + 109 + 407 + 90 + 16 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130131887919 + ... + 130131889617.

It is an arithmetic number, because the mean of its divisors is an integer number (512876559375).

Almost surely, 2^{221094079016832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221094079016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393889197600000).

221094079016832 is an abundant number, since it is smaller than the sum of its proper divisors (566684316183168).

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

221094079016832 is an equidigital number, since it uses as much as digits as its factorization.

221094079016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 221094079016832 in words is "two hundred twenty-one trillion, ninety-four billion, seventy-nine million, sixteen thousand, eight hundred thirty-two".