536557744582144 has 160 divisors (see below), whose sum is σ = 1143012069974016. Its totient is φ = 251037907845120.

The previous prime is 536557744582091. The next prime is 536557744582151. The reversal of 536557744582144 is 441285447755635.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195828689 + ... + 1196277295.

Almost surely, 2^{536557744582144} 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 536557744582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571506034987008).

536557744582144 is an abundant number, since it is smaller than the sum of its proper divisors (606454325391872).

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

536557744582144 is a wasteful number, since it uses less digits than its factorization.

536557744582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450856 (or 450840 counting only the distinct ones).

The product of its digits is 2257920000, while the sum is 70.

The spelling of 536557744582144 in words is "five hundred thirty-six trillion, five hundred fifty-seven billion, seven hundred forty-four million, five hundred eighty-two thousand, one hundred forty-four".