1818736416 has 144 divisors (see below), whose sum is σ = 6129998784. Its totient is φ = 519623424.

The previous prime is 1818736357. The next prime is 1818736429. The reversal of 1818736416 is 6146378181.

1818736416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37726 + ... + 71138.

It is an arithmetic number, because the mean of its divisors is an integer number (42569436).

Almost surely, 2^1818736416 is an apocalyptic number.

1818736416 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 1818736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064999392).

1818736416 is an abundant number, since it is smaller than the sum of its proper divisors (4311262368).

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

1818736416 is an equidigital number, since it uses as much as digits as its factorization.

1818736416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33445 (or 33425 counting only the distinct ones).

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

The square root of 1818736416 is about 42646.6460111461. The cubic root of 1818736416 is about 1220.6465300201.

The spelling of 1818736416 in words is "one billion, eight hundred eighteen million, seven hundred thirty-six thousand, four hundred sixteen".