11012145543540 has 72 divisors (see below), whose sum is σ = 33403780250568. Its totient is φ = 2936548224000.

The previous prime is 11012145543521. The next prime is 11012145543541. The reversal of 11012145543540 is 4534554121011.

11012145543540 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 21 + 4 + 55 + 43 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4335432336 + 11007810111204 = 65844^2 + 3317802^2 .

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 = 11012145543495 and 11012145543504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012145543541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39280504 + ... + 39559856.

It is an arithmetic number, because the mean of its divisors is an integer number (463941392369).

Almost surely, 2^{11012145543540} is an apocalyptic number.

11012145543540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012145543540 is an abundant number, since it is smaller than the sum of its proper divisors (22391634707028).

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

11012145543540 is a wasteful number, since it uses less digits than its factorization.

11012145543540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498369 (or 498364 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11012145543540 its reverse (4534554121011), we get a palindrome (15546699664551).

The spelling of 11012145543540 in words is "eleven trillion, twelve billion, one hundred forty-five million, five hundred forty-three thousand, five hundred forty".