5509094182164 has 18 divisors (see below), whose sum is σ = 13925765849450. Its totient is φ = 1836364727376.

The previous prime is 5509094182099. The next prime is 5509094182213. The reversal of 5509094182164 is 4612814909055.

5509094182164 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 0 + 9 + 418 + 216 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3664544490000 + 1844549692164 = 1914300^2 + 1358142^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5509094182164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76515196939 + ... + 76515197010.

Almost surely, 2^{5509094182164} is an apocalyptic number.

It is an amenable number.

5509094182164 is an abundant number, since it is smaller than the sum of its proper divisors (8416671667286).

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

5509094182164 is a wasteful number, since it uses less digits than its factorization.

5509094182164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153030393959 (or 153030393954 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5509094182164 in words is "five trillion, five hundred nine billion, ninety-four million, one hundred eighty-two thousand, one hundred sixty-four".