11833482400 has 72 divisors (see below), whose sum is σ = 30587846940. Its totient is φ = 4454952960.

The previous prime is 11833482377. The next prime is 11833482403. The reversal of 11833482400 is 428433811.

It can be written as a sum of positive squares in 6 ways, for example, as 6555169296 + 5278313104 = 80964^2 + 72652^2 .

It is a super-2 number, since 2×11833482400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (11833482403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421455 + ... + 448654.

Almost surely, 2^11833482400 is an apocalyptic number.

11833482400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11833482400 is an abundant number, since it is smaller than the sum of its proper divisors (18754364540).

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

11833482400 is a wasteful number, since it uses less digits than its factorization.

11833482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870146 (or 870133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 11833482400 in words is "eleven billion, eight hundred thirty-three million, four hundred eighty-two thousand, four hundred".