221245790544 has 30 divisors (see below), whose sum is σ = 619180928106. Its totient is φ = 73748596800.

The previous prime is 221245790497. The next prime is 221245790599. The reversal of 221245790544 is 445097542122.

221245790544 is a `hidden beast` number, since 2 + 2 + 1 + 24 + 579 + 0 + 54 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208922126400 + 12323664144 = 457080^2 + 111012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221245790544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 768214407 + ... + 768214694.

Almost surely, 2^221245790544 is an apocalyptic number.

221245790544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221245790544 is an abundant number, since it is smaller than the sum of its proper divisors (397935137562).

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

221245790544 is a wasteful number, since it uses less digits than its factorization.

221245790544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536429115 (or 1536429106 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 221245790544 in words is "two hundred twenty-one billion, two hundred forty-five million, seven hundred ninety thousand, five hundred forty-four".