221545355676164 has 120 divisors (see below), whose sum is σ = 446238467195640. Its totient is φ = 96057464315904.

The previous prime is 221545355676163. The next prime is 221545355676191. The reversal of 221545355676164 is 461676553545122.

It can be written as a sum of positive squares in 20 ways, for example, as 210912591208900 + 10632764467264 = 14522830^2 + 3260792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221545355676097 and 221545355676106.

It is not an unprimeable number, because it can be changed into a prime (221545355676163) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121680164 + ... + 123487460.

It is an arithmetic number, because the mean of its divisors is an integer number (3718653893297).

Almost surely, 2^{221545355676164} is an apocalyptic number.

It is an amenable number.

221545355676164 is an abundant number, since it is smaller than the sum of its proper divisors (224693111519476).

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

221545355676164 is a wasteful number, since it uses less digits than its factorization.

221545355676164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807419 (or 1807378 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 62.

The spelling of 221545355676164 in words is "two hundred twenty-one trillion, five hundred forty-five billion, three hundred fifty-five million, six hundred seventy-six thousand, one hundred sixty-four".