1816401312 has 288 divisors, whose sum is σ = 6177487680. Its totient is φ = 499752960.

The previous prime is 1816401281. The next prime is 1816401343. The reversal of 1816401312 is 2131046181.

It is a happy number.

1816401312 is a `hidden beast` number, since 1 + 8 + 1 + 640 + 1 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1816401281) and next prime (1816401343).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1816401312³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561243 + ... + 1562405.

It is an arithmetic number, because the mean of its divisors is an integer number (21449610).

Almost surely, 2^1816401312 is an apocalyptic number.

1816401312 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 1816401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088743840).

1816401312 is an abundant number, since it is smaller than the sum of its proper divisors (4361086368).

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

1816401312 is a wasteful number, since it uses less digits than its factorization.

1816401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1816401312 is about 42619.2598715651. The cubic root of 1816401312 is about 1220.1239039257.

Adding to 1816401312 its reverse (2131046181), we get a palindrome (3947447493).

The spelling of 1816401312 in words is "one billion, eight hundred sixteen million, four hundred one thousand, three hundred twelve".