1003000264164 has 96 divisors (see below), whose sum is σ = 2639599361280. Its totient is φ = 329299084800.

The previous prime is 1003000264117. The next prime is 1003000264169. The reversal of 1003000264164 is 4614620003001.

1003000264164 is a `hidden beast` number, since 10 + 0 + 3 + 0 + 0 + 0 + 2 + 641 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1003000264169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7764972 + ... + 7893084.

It is an arithmetic number, because the mean of its divisors is an integer number (27495826680).

Almost surely, 2^{1003000264164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003000264164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319799680640).

1003000264164 is an abundant number, since it is smaller than the sum of its proper divisors (1636599097116).

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

1003000264164 is a wasteful number, since it uses less digits than its factorization.

1003000264164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129218 (or 129210 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1003000264164 its reverse (4614620003001), we get a palindrome (5617620267165).

The spelling of 1003000264164 in words is "one trillion, three billion, two hundred sixty-four thousand, one hundred sixty-four".