11207347103232 has 480 divisors, whose sum is σ = 38107878082560. Its totient is φ = 3104666910720.

The previous prime is 11207347103219. The next prime is 11207347103233. The reversal of 11207347103232 is 23230174370211.

11207347103232 is a `hidden beast` number, since 1 + 1 + 207 + 347 + 103 + 2 + 3 + 2 = 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 (11207347103233) 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, 138886257 + ... + 138966927.

It is an arithmetic number, because the mean of its divisors is an integer number (79391412672).

Almost surely, 2^{11207347103232} is an apocalyptic number.

11207347103232 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 11207347103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053939041280).

11207347103232 is an abundant number, since it is smaller than the sum of its proper divisors (26900530979328).

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

11207347103232 is an equidigital number, since it uses as much as digits as its factorization.

11207347103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80834 (or 80815 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 11207347103232 in words is "eleven trillion, two hundred seven billion, three hundred forty-seven million, one hundred three thousand, two hundred thirty-two".