1004610164001 has 8 divisors (see below), whose sum is σ = 1339484851584. Its totient is φ = 669737792880.

The previous prime is 1004610163969. The next prime is 1004610164039.

1004610164001 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 1004610164001 - 2⁵ = 1004610163969 is a prime.

It is a super-2 number, since 2×1004610164001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004610184001) 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, 1369291 + ... + 1970831.

It is an arithmetic number, because the mean of its divisors is an integer number (167435606448).

Almost surely, 2^{1004610164001} is an apocalyptic number.

It is an amenable number.

1004610164001 is a deficient number, since it is larger than the sum of its proper divisors (334874687583).

1004610164001 is an equidigital number, since it uses as much as digits as its factorization.

1004610164001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158231.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1004610 and 164001, that added together give a palindrome (1168611).

The spelling of 1004610164001 in words is "one trillion, four billion, six hundred ten million, one hundred sixty-four thousand, one".