1814078448 has 360 divisors, whose sum is σ = 6570150912. Its totient is φ = 456648192.

The previous prime is 1814078443. The next prime is 1814078477. The reversal of 1814078448 is 8448704181.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814078443) 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 71 ways as a sum of consecutive naturals, for example, 3917865 + ... + 3918327.

Almost surely, 2^1814078448 is an apocalyptic number.

1814078448 is a gapful number since it is divisible by the number (18) 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 1814078448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285075456).

1814078448 is an abundant number, since it is smaller than the sum of its proper divisors (4756072464).

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

1814078448 is a wasteful number, since it uses less digits than its factorization.

1814078448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 1814078448 is about 42591.9998121713. Note that the first 3 decimals coincide. The cubic root of 1814078448 is about 1219.6035727126.

The spelling of 1814078448 in words is "one billion, eight hundred fourteen million, seventy-eight thousand, four hundred forty-eight".