221642621648825 has 96 divisors (see below), whose sum is σ = 302539828211712. Its totient is φ = 160066842624000.

The previous prime is 221642621648687. The next prime is 221642621648827. The reversal of 221642621648825 is 528846126246122.

It is not a de Polignac number, because 221642621648825 - 2⁴⁶ = 151273877471161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221642621648827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6702007040 + ... + 6702040110.

It is an arithmetic number, because the mean of its divisors is an integer number (3151456543872).

Almost surely, 2^{221642621648825} is an apocalyptic number.

221642621648825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221642621648825 is a deficient number, since it is larger than the sum of its proper divisors (80897206562887).

221642621648825 is a wasteful number, since it uses less digits than its factorization.

221642621648825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34395 (or 34390 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 59.

The spelling of 221642621648825 in words is "two hundred twenty-one trillion, six hundred forty-two billion, six hundred twenty-one million, six hundred forty-eight thousand, eight hundred twenty-five".