11334346100 has 144 divisors (see below), whose sum is σ = 31317995520. Its totient is φ = 3457507200.

The previous prime is 11334346091. The next prime is 11334346103. The reversal of 11334346100 is 164343311.

It is a self number, because there is not a number n which added to its sum of digits gives 11334346100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334346103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346241 + ... + 377559.

It is an arithmetic number, because the mean of its divisors is an integer number (217486080).

Almost surely, 2^11334346100 is an apocalyptic number.

11334346100 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 11334346100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658997760).

11334346100 is an abundant number, since it is smaller than the sum of its proper divisors (19983649420).

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

11334346100 is a wasteful number, since it uses less digits than its factorization.

11334346100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31398 (or 31391 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 11334346100 its reverse (164343311), we get a palindrome (11498689411).

The spelling of 11334346100 in words is "eleven billion, three hundred thirty-four million, three hundred forty-six thousand, one hundred".