11331268775232 has 896 divisors, whose sum is σ = 36859390848000. Its totient is φ = 3067881062400.

The previous prime is 11331268775221. The next prime is 11331268775237. The reversal of 11331268775232 is 23257786213311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331268775237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14658820798 + ... + 14658821570.

It is an arithmetic number, because the mean of its divisors is an integer number (41137713000).

Almost surely, 2^{11331268775232} is an apocalyptic number.

11331268775232 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 11331268775232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18429695424000).

11331268775232 is an abundant number, since it is smaller than the sum of its proper divisors (25528122072768).

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

11331268775232 is an equidigital number, since it uses as much as digits as its factorization.

11331268775232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 976 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 11331268775232 in words is "eleven trillion, three hundred thirty-one billion, two hundred sixty-eight million, seven hundred seventy-five thousand, two hundred thirty-two".