1814312448 has 240 divisors, whose sum is σ = 5826877056. Its totient is φ = 539688960.

The previous prime is 1814312441. The next prime is 1814312503. The reversal of 1814312448 is 8442134181.

It is a happy number.

1814312448 is a `hidden beast` number, since 181 + 4 + 31 + 2 + 448 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814312441) 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, 1856536 + ... + 1857512.

Almost surely, 2^1814312448 is an apocalyptic number.

1814312448 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 1814312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913438528).

1814312448 is an abundant number, since it is smaller than the sum of its proper divisors (4012564608).

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

1814312448 is a wasteful number, since it uses less digits than its factorization.

1814312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1026 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1814312448 is about 42594.7467183454. The cubic root of 1814312448 is about 1219.6560097993.

The spelling of 1814312448 in words is "one billion, eight hundred fourteen million, three hundred twelve thousand, four hundred forty-eight".