11754345393488 has 160 divisors (see below), whose sum is σ = 25354341027840. Its totient is φ = 5256101975040.

The previous prime is 11754345393437. The next prime is 11754345393491. The reversal of 11754345393488 is 88439354345711.

It is a super-2 number, since 2×11754345393488² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318899156 + ... + 318936012.

It is an arithmetic number, because the mean of its divisors is an integer number (158464631424).

Almost surely, 2^{11754345393488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11754345393488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677170513920).

11754345393488 is an abundant number, since it is smaller than the sum of its proper divisors (13599995634352).

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

11754345393488 is a wasteful number, since it uses less digits than its factorization.

11754345393488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37745 (or 37739 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 65.

The spelling of 11754345393488 in words is "eleven trillion, seven hundred fifty-four billion, three hundred forty-five million, three hundred ninety-three thousand, four hundred eighty-eight".