11298313549152 has 384 divisors, whose sum is σ = 38993581670400. Its totient is φ = 3114502617600.

The previous prime is 11298313549151. The next prime is 11298313549163. The reversal of 11298313549152 is 25194531389211.

11298313549152 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 83 + 1 + 3 + 549 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11298313549151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61967499 + ... + 62149557.

It is an arithmetic number, because the mean of its divisors is an integer number (101545785600).

Almost surely, 2^{11298313549152} is an apocalyptic number.

11298313549152 is a gapful number since it is divisible by the number (12) 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 11298313549152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496790835200).

11298313549152 is an abundant number, since it is smaller than the sum of its proper divisors (27695268121248).

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

11298313549152 is a wasteful number, since it uses less digits than its factorization.

11298313549152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182447 (or 182433 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 11298313549152 in words is "eleven trillion, two hundred ninety-eight billion, three hundred thirteen million, five hundred forty-nine thousand, one hundred fifty-two".