11649093800 has 96 divisors (see below), whose sum is σ = 28590729600. Its totient is φ = 4401838080.

The previous prime is 11649093793. The next prime is 11649093893. The reversal of 11649093800 is 839094611.

It is a super-2 number, since 2×11649093800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390424 + ... + 1398776.

It is an arithmetic number, because the mean of its divisors is an integer number (297820100).

Almost surely, 2^11649093800 is an apocalyptic number.

11649093800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11649093800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295364800).

11649093800 is an abundant number, since it is smaller than the sum of its proper divisors (16941635800).

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

11649093800 is a wasteful number, since it uses less digits than its factorization.

11649093800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 11649093800 in words is "eleven billion, six hundred forty-nine million, ninety-three thousand, eight hundred".