11353869648 has 120 divisors (see below), whose sum is σ = 34707082176. Its totient is φ = 3436262400.

The previous prime is 11353869643. The next prime is 11353869677. The reversal of 11353869648 is 84696835311.

11353869648 is a `hidden beast` number, since 1 + 1 + 3 + 538 + 69 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11353869594 and 11353869603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11353869643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400968 + ... + 1409048.

Almost surely, 2^11353869648 is an apocalyptic number.

11353869648 is a gapful number since it is divisible by the number (18) 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 11353869648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353541088).

11353869648 is an abundant number, since it is smaller than the sum of its proper divisors (23353212528).

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

11353869648 is a wasteful number, since it uses less digits than its factorization.

11353869648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8984 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

It can be divided in two parts, 1135 and 3869648, that added together give a palindrome (3870783).

The spelling of 11353869648 in words is "eleven billion, three hundred fifty-three million, eight hundred sixty-nine thousand, six hundred forty-eight".