11303123886432 has 192 divisors, whose sum is σ = 37758817958400. Its totient is φ = 3222457827840.

The previous prime is 11303123886407. The next prime is 11303123886433. The reversal of 11303123886432 is 23468832130311.

11303123886432 is a `hidden beast` number, since 1 + 1 + 303 + 1 + 238 + 86 + 4 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303123886433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761119 + ... + 4815137.

It is an arithmetic number, because the mean of its divisors is an integer number (196660510200).

Almost surely, 2^{11303123886432} is an apocalyptic number.

11303123886432 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 11303123886432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879408979200).

11303123886432 is an abundant number, since it is smaller than the sum of its proper divisors (26455694071968).

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

11303123886432 is a wasteful number, since it uses less digits than its factorization.

11303123886432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054506 (or 4054492 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 11303123886432 in words is "eleven trillion, three hundred three billion, one hundred twenty-three million, eight hundred eighty-six thousand, four hundred thirty-two".