11312532344340 has 120 divisors (see below), whose sum is σ = 35495882524872. Its totient is φ = 3015991031040.

The previous prime is 11312532344297. The next prime is 11312532344381. The reversal of 11312532344340 is 4344323521311.

11312532344340 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 253 + 23 + 44 + 340 = 666.

11312532344340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2720856848004 + 8591675496336 = 1649502^2 + 2931156^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11312532344295 and 11312532344304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6372262 + ... + 7951778.

Almost surely, 2^{11312532344340} is an apocalyptic number.

11312532344340 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 11312532344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747941262436).

11312532344340 is an abundant number, since it is smaller than the sum of its proper divisors (24183350180532).

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

11312532344340 is a wasteful number, since it uses less digits than its factorization.

11312532344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583959 (or 1583948 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 11312532344340 its reverse (4344323521311), we get a palindrome (15656855865651).

The spelling of 11312532344340 in words is "eleven trillion, three hundred twelve billion, five hundred thirty-two million, three hundred forty-four thousand, three hundred forty".