221104795985649 has 135 divisors (see below), whose sum is σ = 344885002727419. Its totient is φ = 141163588969920.

The previous prime is 221104795985639. The next prime is 221104795985651. The reversal of 221104795985649 is 946589597401122.

The square root of 221104795985649 is 14869593.

It is a perfect power (a square), and thus also a powerful number.

221104795985649 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 0 + 4 + 7 + 9 + 59 + 8 + 564 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10654068099249 + 210450727886400 = 3264057^2 + 14506920^2 .

It is not a de Polignac number, because 221104795985649 - 2⁵ = 221104795985617 is a prime.

It is a super-2 number, since 2×221104795985649² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221104795985609) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 323725908862 + ... + 323725909544.

Almost surely, 2^{221104795985649} is an apocalyptic number.

221104795985649 is the 14869593-rd square number.

221104795985649 is the 7434797-th centered octagonal number.

It is an amenable number.

221104795985649 is a deficient number, since it is larger than the sum of its proper divisors (123780206741770).

221104795985649 is an frugal number, since it uses more digits than its factorization.

221104795985649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 221104795985649 in words is "two hundred twenty-one trillion, one hundred four billion, seven hundred ninety-five million, nine hundred eighty-five thousand, six hundred forty-nine".