11347938946032 has 240 divisors, whose sum is σ = 33422756342400. Its totient is φ = 3307108746240.

The previous prime is 11347938946031. The next prime is 11347938946033. The reversal of 11347938946032 is 23064983974311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11347938946031) and next prime (11347938946033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11347938946031) 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 47 ways as a sum of consecutive naturals, for example, 1044828282 + ... + 1044839142.

It is an arithmetic number, because the mean of its divisors is an integer number (139261484760).

Almost surely, 2^{11347938946032} is an apocalyptic number.

11347938946032 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 11347938946032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16711378171200).

11347938946032 is an abundant number, since it is smaller than the sum of its proper divisors (22074817396368).

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

11347938946032 is a wasteful number, since it uses less digits than its factorization.

11347938946032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17696 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 11347938946032 in words is "eleven trillion, three hundred forty-seven billion, nine hundred thirty-eight million, nine hundred forty-six thousand, thirty-two".