11332515352352 has 72 divisors (see below), whose sum is σ = 23294429085060. Its totient is φ = 5423751557120.

The previous prime is 11332515352349. The next prime is 11332515352357. The reversal of 11332515352352 is 25325351523311.

It can be written as a sum of positive squares in 6 ways, for example, as 6402499059856 + 4930016292496 = 2530316^2 + 2220364^2 .

It is a super-2 number, since 2×11332515352352² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (11332515352357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2147924 + ... + 5222892.

Almost surely, 2^{11332515352352} 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 11332515352352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11647214542530).

11332515352352 is an abundant number, since it is smaller than the sum of its proper divisors (11961913732708).

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

11332515352352 is an equidigital number, since it uses as much as digits as its factorization.

11332515352352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075126 (or 3075065 counting only the distinct ones).

The product of its digits is 405000, while the sum is 41.

Adding to 11332515352352 its reverse (25325351523311), we get a palindrome (36657866875663).

The spelling of 11332515352352 in words is "eleven trillion, three hundred thirty-two billion, five hundred fifteen million, three hundred fifty-two thousand, three hundred fifty-two".