11583662714112 has 144 divisors (see below), whose sum is σ = 31455478752768. Its totient is φ = 3783479777280.

The previous prime is 11583662714093. The next prime is 11583662714149. The reversal of 11583662714112 is 21141726638511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8236423 + ... + 9539705.

It is an arithmetic number, because the mean of its divisors is an integer number (218440824672).

Almost surely, 2^{11583662714112} is an apocalyptic number.

11583662714112 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 11583662714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727739376384).

11583662714112 is an abundant number, since it is smaller than the sum of its proper divisors (19871816038656).

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

11583662714112 is a wasteful number, since it uses less digits than its factorization.

11583662714112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303536 (or 1303522 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 11583662714112 in words is "eleven trillion, five hundred eighty-three billion, six hundred sixty-two million, seven hundred fourteen thousand, one hundred twelve".