1819423872 has 192 divisors, whose sum is σ = 6130575360. Its totient is φ = 507064320.

The previous prime is 1819423867. The next prime is 1819423877. The reversal of 1819423872 is 2783249181.

It is a happy number.

1819423872 is a `hidden beast` number, since 181 + 94 + 2 + 387 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1819423867) and next prime (1819423877).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1819423877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327873 + ... + 333375.

It is an arithmetic number, because the mean of its divisors is an integer number (31930080).

Almost surely, 2^1819423872 is an apocalyptic number.

1819423872 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 1819423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065287680).

1819423872 is an abundant number, since it is smaller than the sum of its proper divisors (4311151488).

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

1819423872 is a wasteful number, since it uses less digits than its factorization.

1819423872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5556 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1819423872 is about 42654.7051566413. The cubic root of 1819423872 is about 1220.8003062111.

The spelling of 1819423872 in words is "one billion, eight hundred nineteen million, four hundred twenty-three thousand, eight hundred seventy-two".