11453071360 has 160 divisors (see below), whose sum is σ = 29217493800. Its totient is φ = 4294967296.

The previous prime is 11453071337. The next prime is 11453071363. The reversal of 11453071360 is 6317035411.

It can be written as a sum of positive squares in 4 ways, for example, as 11450712064 + 2359296 = 107008^2 + 1536^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (11453071363) by changing a digit.

In principle, a polygon with 11453071360 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44564352 + ... + 44564608.

Almost surely, 2^11453071360 is an apocalyptic number.

11453071360 is a gapful number since it is divisible by the number (10) 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 11453071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608746900).

11453071360 is an abundant number, since it is smaller than the sum of its proper divisors (17764422440).

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

11453071360 is an frugal number, since it uses more digits than its factorization.

11453071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 11453071360 in words is "eleven billion, four hundred fifty-three million, seventy-one thousand, three hundred sixty".