1153819904 has 36 divisors (see below), whose sum is σ = 2306521140. Its totient is φ = 576061440.

The previous prime is 1153819883. The next prime is 1153819921. The reversal of 1153819904 is 4099183511.

It can be written as a sum of positive squares in 2 ways, for example, as 486114304 + 667705600 = 22048^2 + 25840^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193934 + ... + 199794.

Almost surely, 2^1153819904 is an apocalyptic number.

It is an amenable number.

1153819904 is a deficient number, since it is larger than the sum of its proper divisors (1152701236).

1153819904 is an frugal number, since it uses more digits than its factorization.

1153819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 1153819904 is about 33967.9246348669. The cubic root of 1153819904 is about 1048.8482924482.

The spelling of 1153819904 in words is "one billion, one hundred fifty-three million, eight hundred nineteen thousand, nine hundred four".