11403306048312 has 448 divisors, whose sum is σ = 34098662016000. Its totient is φ = 3565913041152.

The previous prime is 11403306048311. The next prime is 11403306048319. The reversal of 11403306048312 is 21384060330411.

11403306048312 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 30 + 604 + 8 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11403306048311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2147917114 + ... + 2147922422.

Almost surely, 2^{11403306048312} is an apocalyptic number.

11403306048312 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 11403306048312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049331008000).

11403306048312 is an abundant number, since it is smaller than the sum of its proper divisors (22695355967688).

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

11403306048312 is a wasteful number, since it uses less digits than its factorization.

11403306048312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 11403306048312 its reverse (21384060330411), we get a palindrome (32787366378723).

The spelling of 11403306048312 in words is "eleven trillion, four hundred three billion, three hundred six million, forty-eight thousand, three hundred twelve".