1813421376 has 168 divisors, whose sum is σ = 5634730920. Its totient is φ = 557586432.

The previous prime is 1813421347. The next prime is 1813421377. The reversal of 1813421376 is 6731243181.

It is a happy number.

1813421376 is a `hidden beast` number, since 181 + 342 + 137 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 283046976 + 1530374400 = 16824^2 + 39120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1813421376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813421377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264756 + ... + 1266188.

It is an arithmetic number, because the mean of its divisors is an integer number (33540065).

Almost surely, 2^1813421376 is an apocalyptic number.

1813421376 is a gapful number since it is divisible by the number (16) 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 1813421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817365460).

1813421376 is an abundant number, since it is smaller than the sum of its proper divisors (3821309544).

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

1813421376 is a wasteful number, since it uses less digits than its factorization.

1813421376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1451 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1813421376 is about 42584.2855523020. The cubic root of 1813421376 is about 1219.4563052607.

The spelling of 1813421376 in words is "one billion, eight hundred thirteen million, four hundred twenty-one thousand, three hundred seventy-six".