11711038464 has 132 divisors (see below), whose sum is σ = 33883360524. Its totient is φ = 3895836672.

The previous prime is 11711038453. The next prime is 11711038483. The reversal of 11711038464 is 46483011711.

It can be written as a sum of positive squares in 2 ways, for example, as 10199384064 + 1511654400 = 100992^2 + 38880^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6238294 + ... + 6240170.

Almost surely, 2^11711038464 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 11711038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941680262).

11711038464 is an abundant number, since it is smaller than the sum of its proper divisors (22172322060).

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

11711038464 is a wasteful number, since it uses less digits than its factorization.

11711038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11711038464 in words is "eleven billion, seven hundred eleven million, thirty-eight thousand, four hundred sixty-four".