1814613164 has 72 divisors (see below), whose sum is σ = 4136912640. Its totient is φ = 680052672.

The previous prime is 1814613139. The next prime is 1814613181. The reversal of 1814613164 is 4613164181.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79817 + ... + 99999.

It is an arithmetic number, because the mean of its divisors is an integer number (57457120).

Almost surely, 2^1814613164 is an apocalyptic number.

1814613164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1814613164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068456320).

1814613164 is an abundant number, since it is smaller than the sum of its proper divisors (2322299476).

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

1814613164 is a wasteful number, since it uses less digits than its factorization.

1814613164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20239 (or 20224 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 1814613164 is about 42598.2765379070. The cubic root of 1814613164 is about 1219.7233906621.

The spelling of 1814613164 in words is "one billion, eight hundred fourteen million, six hundred thirteen thousand, one hundred sixty-four".