164505256415 has 64 divisors (see below), whose sum is σ = 206261821440. Its totient is φ = 125892480000.

The previous prime is 164505256397. The next prime is 164505256427. The reversal of 164505256415 is 514652505461.

164505256415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164505256415 - 2¹² = 164505252319 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 779645660 + ... + 779645870.

It is an arithmetic number, because the mean of its divisors is an integer number (3222840960).

Almost surely, 2^164505256415 is an apocalyptic number.

164505256415 is a deficient number, since it is larger than the sum of its proper divisors (41756565025).

164505256415 is a wasteful number, since it uses less digits than its factorization.

164505256415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704.

The product of its (nonzero) digits is 720000, while the sum is 44.

The spelling of 164505256415 in words is "one hundred sixty-four billion, five hundred five million, two hundred fifty-six thousand, four hundred fifteen".