164435254049 has 16 divisors (see below), whose sum is σ = 179789077440. Its totient is φ = 149149224960.

The previous prime is 164435254019. The next prime is 164435254091. The reversal of 164435254049 is 940452534461.

It is a cyclic number.

It is not a de Polignac number, because 164435254049 - 2⁸ = 164435253793 is a prime.

It is a super-3 number, since 3×164435254049³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164435253994 and 164435254012.

It is not an unprimeable number, because it can be changed into a prime (164435254019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16152449 + ... + 16162625.

It is an arithmetic number, because the mean of its divisors is an integer number (11236817340).

Almost surely, 2^164435254049 is an apocalyptic number.

It is an amenable number.

164435254049 is a deficient number, since it is larger than the sum of its proper divisors (15353823391).

164435254049 is a wasteful number, since it uses less digits than its factorization.

164435254049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360.

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 164435254049 in words is "one hundred sixty-four billion, four hundred thirty-five million, two hundred fifty-four thousand, forty-nine".