1004616164001 has 8 divisors (see below), whose sum is σ = 1339600441984. Its totient is φ = 669687997680.

The previous prime is 1004616163979. The next prime is 1004616164011.

1004616164001 is nontrivially palindromic in base 10.

1004616164001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1004616164001 - 2²⁶ = 1004549055137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004616164001.

It is not an unprimeable number, because it can be changed into a prime (1004616164011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13986121 + ... + 14057766.

It is an arithmetic number, because the mean of its divisors is an integer number (167450055248).

Almost surely, 2^{1004616164001} is an apocalyptic number.

It is an amenable number.

1004616164001 is a deficient number, since it is larger than the sum of its proper divisors (334984277983).

1004616164001 is a wasteful number, since it uses less digits than its factorization.

1004616164001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28055831.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1004616164001 in words is "one trillion, four billion, six hundred sixteen million, one hundred sixty-four thousand, one".