164635450005753 has 96 divisors (see below), whose sum is σ = 252614801930400. Its totient is φ = 103162397184000.

The previous prime is 164635450005751. The next prime is 164635450005779. The reversal of 164635450005753 is 357500054536461.

164635450005753 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 35 + 4 + 500 + 0 + 57 + 53 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1389163962384 + 163246286043369 = 1178628^2 + 12776787^2 .

It is not a de Polignac number, because 164635450005753 - 2¹ = 164635450005751 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164635450005753.

It is not an unprimeable number, because it can be changed into a prime (164635450005751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4388270551 + ... + 4388308067.

It is an arithmetic number, because the mean of its divisors is an integer number (2631404186775).

Almost surely, 2^{164635450005753} is an apocalyptic number.

It is an amenable number.

164635450005753 is a deficient number, since it is larger than the sum of its proper divisors (87979351924647).

164635450005753 is a wasteful number, since it uses less digits than its factorization.

164635450005753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40443 (or 40440 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 164635450005753 in words is "one hundred sixty-four trillion, six hundred thirty-five billion, four hundred fifty million, five thousand, seven hundred fifty-three".