11752418336 has 96 divisors (see below), whose sum is σ = 24234940800. Its totient is φ = 5604857856.

The previous prime is 11752418311. The next prime is 11752418341. The reversal of 11752418336 is 63381425711.

It is a junction number, because it is equal to n+sod(n) for n = 11752418293 and 11752418302.

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, 19619765 + ... + 19620363.

It is an arithmetic number, because the mean of its divisors is an integer number (252447300).

Almost surely, 2^11752418336 is an apocalyptic number.

11752418336 is a gapful number since it is divisible by the number (16) 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 11752418336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117470400).

11752418336 is an abundant number, since it is smaller than the sum of its proper divisors (12482522464).

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

11752418336 is a wasteful number, since it uses less digits than its factorization.

11752418336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The spelling of 11752418336 in words is "eleven billion, seven hundred fifty-two million, four hundred eighteen thousand, three hundred thirty-six".