11147727864 has 256 divisors, whose sum is σ = 35199360000. Its totient is φ = 2863890432.

The previous prime is 11147727863. The next prime is 11147727869. The reversal of 11147727864 is 46872774111.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11147727863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22339887 + ... + 22340385.

It is an arithmetic number, because the mean of its divisors is an integer number (137497500).

Almost surely, 2^11147727864 is an apocalyptic number.

11147727864 is a gapful number since it is divisible by the number (14) 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 11147727864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599680000).

11147727864 is an abundant number, since it is smaller than the sum of its proper divisors (24051632136).

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

11147727864 is a wasteful number, since it uses less digits than its factorization.

11147727864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 770 counting only the distinct ones).

The product of its digits is 526848, while the sum is 48.

The spelling of 11147727864 in words is "eleven billion, one hundred forty-seven million, seven hundred twenty-seven thousand, eight hundred sixty-four".