11347475254544 has 320 divisors, whose sum is σ = 27275247272448. Its totient is φ = 4499810304000.

The previous prime is 11347475254421. The next prime is 11347475254559. The reversal of 11347475254544 is 44545257474311.

It is a self number, because there is not a number n which added to its sum of digits gives 11347475254544.

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 63 ways as a sum of consecutive naturals, for example, 2960466452 + ... + 2960470284.

Almost surely, 2^{11347475254544} 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 11347475254544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637623636224).

11347475254544 is an abundant number, since it is smaller than the sum of its proper divisors (15927772017904).

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

11347475254544 is a wasteful number, since it uses less digits than its factorization.

11347475254544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4540 counting only the distinct ones).

The product of its digits is 37632000, while the sum is 56.

The spelling of 11347475254544 in words is "eleven trillion, three hundred forty-seven billion, four hundred seventy-five million, two hundred fifty-four thousand, five hundred forty-four".