1151809824 has 192 divisors, whose sum is σ = 3518484480. Its totient is φ = 326430720.

The previous prime is 1151809819. The next prime is 1151809829. The reversal of 1151809824 is 4289081511.

It is an interprime number because it is at equal distance from previous prime (1151809819) and next prime (1151809829).

It is not an unprimeable number, because it can be changed into a prime (1151809829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141032 + ... + 1142040.

It is an arithmetic number, because the mean of its divisors is an integer number (18325440).

Almost surely, 2^1151809824 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 1151809824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759242240).

1151809824 is an abundant number, since it is smaller than the sum of its proper divisors (2366674656).

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

1151809824 is a wasteful number, since it uses less digits than its factorization.

1151809824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 1151809824 is about 33938.3238242551. The cubic root of 1151809824 is about 1048.2388690789.

The spelling of 1151809824 in words is "one billion, one hundred fifty-one million, eight hundred nine thousand, eight hundred twenty-four".