109953917649 has 27 divisors (see below), whose sum is σ = 160475867643. Its totient is φ = 72547242912.

The previous prime is 109953917603. The next prime is 109953917651. The reversal of 109953917649 is 946719359901.

The square root of 109953917649 is 331593.

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

109953917649 is a `hidden beast` number, since 1 + 0 + 99 + 539 + 1 + 7 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106155414225 + 3798503424 = 325815^2 + 61632^2 .

It is not a de Polignac number, because 109953917649 - 2¹⁵ = 109953884881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109953917659) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106440837 + ... + 106441869.

Almost surely, 2^109953917649 is an apocalyptic number.

109953917649 is the 331593-rd square number.

109953917649 is the 165797-th centered octagonal number.

It is an amenable number.

109953917649 is a deficient number, since it is larger than the sum of its proper divisors (50521949994).

109953917649 is an frugal number, since it uses more digits than its factorization.

109953917649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 109953917649 in words is "one hundred nine billion, nine hundred fifty-three million, nine hundred seventeen thousand, six hundred forty-nine".