11543244648208 has 360 divisors, whose sum is σ = 29487485727000. Its totient is φ = 4338394841088.

The previous prime is 11543244648191. The next prime is 11543244648233. The reversal of 11543244648208 is 80284644234511.

It can be written as a sum of positive squares in 4 ways, for example, as 11705508864 + 11531539139344 = 108192^2 + 3395812^2 .

It is a super-2 number, since 2×11543244648208² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 803336448 + ... + 803350816.

It is an arithmetic number, because the mean of its divisors is an integer number (81909682575).

Almost surely, 2^{11543244648208} 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 11543244648208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14743742863500).

11543244648208 is an abundant number, since it is smaller than the sum of its proper divisors (17944241078792).

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

11543244648208 is a wasteful number, since it uses less digits than its factorization.

11543244648208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14599 (or 14563 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 52.

The spelling of 11543244648208 in words is "eleven trillion, five hundred forty-three billion, two hundred forty-four million, six hundred forty-eight thousand, two hundred eight".