11315732736 has 288 divisors, whose sum is σ = 37792742400. Its totient is φ = 2919997440.

The previous prime is 11315732719. The next prime is 11315732759. The reversal of 11315732736 is 63723751311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11315732694 and 11315732703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10584810 + ... + 10585878.

It is an arithmetic number, because the mean of its divisors is an integer number (131224800).

Almost surely, 2^11315732736 is an apocalyptic number.

11315732736 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 11315732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18896371200).

11315732736 is an abundant number, since it is smaller than the sum of its proper divisors (26477009664).

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

11315732736 is a wasteful number, since it uses less digits than its factorization.

11315732736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The spelling of 11315732736 in words is "eleven billion, three hundred fifteen million, seven hundred thirty-two thousand, seven hundred thirty-six".