11479334100 has 144 divisors (see below), whose sum is σ = 36922636800. Its totient is φ = 2734502400.

The previous prime is 11479334089. The next prime is 11479334143. The reversal of 11479334100 is 143397411.

11479334100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11479334100² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73426 + ... + 168374.

It is an arithmetic number, because the mean of its divisors is an integer number (256407200).

Almost surely, 2^11479334100 is an apocalyptic number.

11479334100 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 11479334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461318400).

11479334100 is an abundant number, since it is smaller than the sum of its proper divisors (25443302700).

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

11479334100 is a wasteful number, since it uses less digits than its factorization.

11479334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95010 (or 95003 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 11479334100 in words is "eleven billion, four hundred seventy-nine million, three hundred thirty-four thousand, one hundred".