532228806144 has 960 divisors, whose sum is σ = 1925964158976. Its totient is φ = 138047127552.

The previous prime is 532228806133. The next prime is 532228806169. The reversal of 532228806144 is 441608822235.

532228806144 is a `hidden beast` number, since 5 + 3 + 2 + 2 + 28 + 8 + 0 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 532228806144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2757662112 + ... + 2757662304.

Almost surely, 2^532228806144 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 532228806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962982079488).

532228806144 is an abundant number, since it is smaller than the sum of its proper divisors (1393735352832).

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

532228806144 is a wasteful number, since it uses less digits than its factorization.

532228806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 532228806144 in words is "five hundred thirty-two billion, two hundred twenty-eight million, eight hundred six thousand, one hundred forty-four".