1814401152 has 96 divisors (see below), whose sum is σ = 5319819180. Its totient is φ = 593369088.

The previous prime is 1814401133. The next prime is 1814401157. The reversal of 1814401152 is 2511044181.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1647061056 + 167340096 = 40584^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1814401157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46198 + ... + 75914.

Almost surely, 2^1814401152 is an apocalyptic number.

1814401152 is a gapful number since it is divisible by the number (12) 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 1814401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659909590).

1814401152 is an abundant number, since it is smaller than the sum of its proper divisors (3505418028).

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

1814401152 is a wasteful number, since it uses less digits than its factorization.

1814401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29790 (or 29775 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1814401152 is about 42595.7879607832. The cubic root of 1814401152 is about 1219.6758863102.

The spelling of 1814401152 in words is "one billion, eight hundred fourteen million, four hundred one thousand, one hundred fifty-two".