811100448 has 72 divisors (see below), whose sum is σ = 2311702848. Its totient is φ = 269764992.

The previous prime is 811100441. The next prime is 811100453. The reversal of 811100448 is 844001118.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (811100441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137365 + ... + 143147.

It is an arithmetic number, because the mean of its divisors is an integer number (32106984).

Almost surely, 2^811100448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811100448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155851424).

811100448 is an abundant number, since it is smaller than the sum of its proper divisors (1500602400).

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

811100448 is a wasteful number, since it uses less digits than its factorization.

811100448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 811100448 is about 28479.8252803629. The cubic root of 811100448 is about 932.5917024628.

The spelling of 811100448 in words is "eight hundred eleven million, one hundred thousand, four hundred forty-eight".