1814578164 has 144 divisors (see below), whose sum is σ = 5686402176. Its totient is φ = 476006400.

The previous prime is 1814578153. The next prime is 1814578177. The reversal of 1814578164 is 4618754181.

1814578164 is a `hidden beast` number, since 1 + 8 + 14 + 578 + 1 + 64 = 666.

It is a super-2 number, since 2×1814578164² = 6585387826531221792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170479 + ... + 180809.

It is an arithmetic number, because the mean of its divisors is an integer number (39488904).

Almost surely, 2^1814578164 is an apocalyptic number.

1814578164 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 1814578164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843201088).

1814578164 is an abundant number, since it is smaller than the sum of its proper divisors (3871824012).

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

1814578164 is a wasteful number, since it uses less digits than its factorization.

1814578164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406 (or 10401 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 1814578164 is about 42597.8657211837. The cubic root of 1814578164 is about 1219.7155486614.

The spelling of 1814578164 in words is "one billion, eight hundred fourteen million, five hundred seventy-eight thousand, one hundred sixty-four".