11356544340 has 288 divisors, whose sum is σ = 39639075840. Its totient is φ = 2612736000.

The previous prime is 11356544281. The next prime is 11356544443. The reversal of 11356544340 is 4344565311.

11356544340 is a `hidden beast` number, since 1 + 13 + 565 + 4 + 43 + 40 = 666.

11356544340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11356544295 and 11356544304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1799190 + ... + 1805490.

It is an arithmetic number, because the mean of its divisors is an integer number (137635680).

Almost surely, 2^11356544340 is an apocalyptic number.

11356544340 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 11356544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819537920).

11356544340 is an abundant number, since it is smaller than the sum of its proper divisors (28282531500).

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

11356544340 is a wasteful number, since it uses less digits than its factorization.

11356544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 11356544340 in words is "eleven billion, three hundred fifty-six million, five hundred forty-four thousand, three hundred forty".