11315852352 has 336 divisors, whose sum is σ = 38170908672. Its totient is φ = 3138186240.

The previous prime is 11315852321. The next prime is 11315852357. The reversal of 11315852352 is 25325851311.

11315852352 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 585 + 23 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (11315852357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39985203 + ... + 39985485.

Almost surely, 2^11315852352 is an apocalyptic number.

11315852352 is a gapful number since it is divisible by the number (12) 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 11315852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085454336).

11315852352 is an abundant number, since it is smaller than the sum of its proper divisors (26855056320).

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

11315852352 is a wasteful number, since it uses less digits than its factorization.

11315852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 11315852352 in words is "eleven billion, three hundred fifteen million, eight hundred fifty-two thousand, three hundred fifty-two".