109791459772164 has 45 divisors (see below), whose sum is σ = 287017056102007. Its totient is φ = 36597090388536.

The previous prime is 109791459772151. The next prime is 109791459772199. The reversal of 109791459772164 is 461277954197901.

It is a happy number.

The square root of 109791459772164 is 10478142.

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

109791459772164 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 9 + 1 + 4 + 597 + 7 + 21 + 6 + 4 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 109791459772092 and 109791459772101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 188315497 + ... + 188897615.

Almost surely, 2^{109791459772164} is an apocalyptic number.

109791459772164 is the 10478142-nd square number.

It is an amenable number.

109791459772164 is an abundant number, since it is smaller than the sum of its proper divisors (177225596329843).

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

109791459772164 is an frugal number, since it uses more digits than its factorization.

109791459772164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164254 (or 582124 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 109791459772164 in words is "one hundred nine trillion, seven hundred ninety-one billion, four hundred fifty-nine million, seven hundred seventy-two thousand, one hundred sixty-four".