13475700532224 has 1056 divisors, whose sum is σ = 48116926108800. Its totient is φ = 3712361103360.

The previous prime is 13475700532223. The next prime is 13475700532237. The reversal of 13475700532224 is 42223500757431.

13475700532224 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 570 + 0 + 53 + 2 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13475700532224.

It is not an unprimeable number, because it can be changed into a prime (13475700532223) by changing a digit.

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, 4236307914 + ... + 4236311094.

Almost surely, 2^{13475700532224} is an apocalyptic number.

13475700532224 is a gapful number since it is divisible by the number (14) 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 13475700532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058463054400).

13475700532224 is an abundant number, since it is smaller than the sum of its proper divisors (34641225576576).

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

13475700532224 is a wasteful number, since it uses less digits than its factorization.

13475700532224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 13475700532224 in words is "thirteen trillion, four hundred seventy-five billion, seven hundred million, five hundred thirty-two thousand, two hundred twenty-four".