1814164242 has 128 divisors (see below), whose sum is σ = 4212476928. Its totient is φ = 515923200.

The previous prime is 1814164211. The next prime is 1814164249. The reversal of 1814164242 is 2424614181.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1814164249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13848517 + ... + 13848647.

It is an arithmetic number, because the mean of its divisors is an integer number (32909976).

Almost surely, 2^1814164242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1814164242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106238464).

1814164242 is an abundant number, since it is smaller than the sum of its proper divisors (2398312686).

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

1814164242 is a wasteful number, since it uses less digits than its factorization.

1814164242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its digits is 12288, while the sum is 33.

The square root of 1814164242 is about 42593.0069612372. The cubic root of 1814164242 is about 1219.6227988234.

The spelling of 1814164242 in words is "one billion, eight hundred fourteen million, one hundred sixty-four thousand, two hundred forty-two".