164673525537 has 24 divisors (see below), whose sum is σ = 239219436456. Its totient is φ = 109156432896.

The previous prime is 164673525493. The next prime is 164673525547. The reversal of 164673525537 is 735525376461.

164673525537 is a `hidden beast` number, since 1 + 6 + 4 + 67 + 3 + 525 + 53 + 7 = 666.

164673525537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31752032481 + 132921493056 = 178191^2 + 364584^2 .

It is not a de Polignac number, because 164673525537 - 2¹⁶ = 164673460001 is a prime.

It is a super-2 number, since 2×164673525537² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164673525547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874033 + ... + 2930769.

It is an arithmetic number, because the mean of its divisors is an integer number (9967476519).

Almost surely, 2^164673525537 is an apocalyptic number.

It is an amenable number.

164673525537 is a deficient number, since it is larger than the sum of its proper divisors (74545910919).

164673525537 is a wasteful number, since it uses less digits than its factorization.

164673525537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58577 (or 58574 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The spelling of 164673525537 in words is "one hundred sixty-four billion, six hundred seventy-three million, five hundred twenty-five thousand, five hundred thirty-seven".