221206538090496 has 1536 divisors, whose sum is σ = 758564352000000. Its totient is φ = 57033975398400.

The previous prime is 221206538090471. The next prime is 221206538090533. The reversal of 221206538090496 is 694090835602122.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 369293051605 + ... + 369293052203.

It is an arithmetic number, because the mean of its divisors is an integer number (493857000000).

Almost surely, 2^{221206538090496} 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 221206538090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379282176000000).

221206538090496 is an abundant number, since it is smaller than the sum of its proper divisors (537357813909504).

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

221206538090496 is a wasteful number, since it uses less digits than its factorization.

221206538090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 221206538090496 in words is "two hundred twenty-one trillion, two hundred six billion, five hundred thirty-eight million, ninety thousand, four hundred ninety-six".