164140017642 has 24 divisors (see below), whose sum is σ = 359921487744. Its totient is φ = 54054141864.

The previous prime is 164140017637. The next prime is 164140017749. The reversal of 164140017642 is 246710041461.

It is a happy number.

164140017642 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 4 + 0 + 0 + 1 + 7 + 642 = 666.

It is a super-3 number, since 3×164140017642³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164140017597 and 164140017606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54931578 + ... + 54934565.

It is an arithmetic number, because the mean of its divisors is an integer number (14996728656).

Almost surely, 2^164140017642 is an apocalyptic number.

164140017642 is an abundant number, since it is smaller than the sum of its proper divisors (195781470102).

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

164140017642 is a wasteful number, since it uses less digits than its factorization.

164140017642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109866234 (or 109866231 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 164140017642 in words is "one hundred sixty-four billion, one hundred forty million, seventeen thousand, six hundred forty-two".