1314004164 has 48 divisors (see below), whose sum is σ = 3361612800. Its totient is φ = 396174240.

The previous prime is 1314004157. The next prime is 1314004177. The reversal of 1314004164 is 4614004131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1257 + ... + 51279.

It is an arithmetic number, because the mean of its divisors is an integer number (70033600).

Almost surely, 2^1314004164 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 1314004164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680806400).

1314004164 is an abundant number, since it is smaller than the sum of its proper divisors (2047608636).

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

1314004164 is a wasteful number, since it uses less digits than its factorization.

1314004164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50240 (or 50238 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1314004164 is about 36249.1953565869. The cubic root of 1314004164 is about 1095.2978802185.

Adding to 1314004164 its reverse (4614004131), we get a palindrome (5928008295).

The spelling of 1314004164 in words is "one billion, three hundred fourteen million, four thousand, one hundred sixty-four".