11315134944 has 240 divisors, whose sum is σ = 34209096768. Its totient is φ = 3667258368.

The previous prime is 11315134931. The next prime is 11315134973. The reversal of 11315134944 is 44943151311.

It is a happy number.

11315134944 is a `hidden beast` number, since 1 + 13 + 151 + 3 + 494 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11315134899 and 11315134908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35694274 + ... + 35694590.

Almost surely, 2^11315134944 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 11315134944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104548384).

11315134944 is an abundant number, since it is smaller than the sum of its proper divisors (22893961824).

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

11315134944 is a wasteful number, since it uses less digits than its factorization.

11315134944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11315134944 in words is "eleven billion, three hundred fifteen million, one hundred thirty-four thousand, nine hundred forty-four".