536445544635 has 256 divisors, whose sum is σ = 1289723904000. Its totient is φ = 204301647360.

The previous prime is 536445544633. The next prime is 536445544693.

536445544635 is a `hidden beast` number, since 5 + 3 + 6 + 44 + 554 + 46 + 3 + 5 = 666.

536445544635 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 536445544635 - 2¹ = 536445544633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (536445544633) 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 255 ways as a sum of consecutive naturals, for example, 18769486 + ... + 18798044.

It is an arithmetic number, because the mean of its divisors is an integer number (5037984000).

Almost surely, 2^536445544635 is an apocalyptic number.

536445544635 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

536445544635 is an abundant number, since it is smaller than the sum of its proper divisors (753278359365).

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

536445544635 is a wasteful number, since it uses less digits than its factorization.

536445544635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28743 (or 28737 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 536445544635 in words is "five hundred thirty-six billion, four hundred forty-five million, five hundred forty-four thousand, six hundred thirty-five".