11434869200 has 30 divisors (see below), whose sum is σ = 27472274214. Its totient is φ = 4573947520.

The previous prime is 11434869191. The next prime is 11434869269. The reversal of 11434869200 is 296843411.

It can be written as a sum of positive squares in 3 ways, for example, as 198021184 + 11236848016 = 14072^2 + 106004^2 .

It is a super-2 number, since 2×11434869200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14293187 + ... + 14293986.

Almost surely, 2^11434869200 is an apocalyptic number.

11434869200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434869200 is an abundant number, since it is smaller than the sum of its proper divisors (16037405014).

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

11434869200 is a wasteful number, since it uses less digits than its factorization.

11434869200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28587191 (or 28587180 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 11434869200 in words is "eleven billion, four hundred thirty-four million, eight hundred sixty-nine thousand, two hundred".