1813880448 has 192 divisors, whose sum is σ = 5569200000. Its totient is φ = 565014528.

The previous prime is 1813880417. The next prime is 1813880449. The reversal of 1813880448 is 8440883181.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1813880449) 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, 1728628 + ... + 1729676.

It is an arithmetic number, because the mean of its divisors is an integer number (29006250).

Almost surely, 2^1813880448 is an apocalyptic number.

1813880448 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 1813880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784600000).

1813880448 is an abundant number, since it is smaller than the sum of its proper divisors (3755319552).

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

1813880448 is a wasteful number, since it uses less digits than its factorization.

1813880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1813880448 is about 42589.6753685679. The cubic root of 1813880448 is about 1219.5591993480.

The spelling of 1813880448 in words is "one billion, eight hundred thirteen million, eight hundred eighty thousand, four hundred forty-eight".