11354115300000 has 576 divisors, whose sum is σ = 40684371033600. Its totient is φ = 2749507200000.

The previous prime is 11354115299993. The next prime is 11354115300007. The reversal of 11354115300000 is 351145311.

It is an interprime number because it is at equal distance from previous prime (11354115299993) and next prime (11354115300007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11354115300007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5210698911 + ... + 5210701089.

It is an arithmetic number, because the mean of its divisors is an integer number (70632588600).

Almost surely, 2^{11354115300000} is an apocalyptic number.

11354115300000 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 11354115300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342185516800).

11354115300000 is an abundant number, since it is smaller than the sum of its proper divisors (29330255733600).

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

11354115300000 is a wasteful number, since it uses less digits than its factorization.

11354115300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11354115300000 its reverse (351145311), we get a palindrome (11354466445311).

The spelling of 11354115300000 in words is "eleven trillion, three hundred fifty-four billion, one hundred fifteen million, three hundred thousand".