532861894656 has 1440 divisors, whose sum is σ = 2075110517760. Its totient is φ = 133772083200.

The previous prime is 532861894619. The next prime is 532861894751. The reversal of 532861894656 is 656498168235.

It is a happy number.

532861894656 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 618 + 9 + 4 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 532861894593 and 532861894602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8735440866 + ... + 8735440926.

Almost surely, 2^532861894656 is an apocalyptic number.

532861894656 is a gapful number since it is divisible by the number (56) 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 532861894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037555258880).

532861894656 is an abundant number, since it is smaller than the sum of its proper divisors (1542248623104).

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

532861894656 is a wasteful number, since it uses less digits than its factorization.

532861894656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 532861894656 in words is "five hundred thirty-two billion, eight hundred sixty-one million, eight hundred ninety-four thousand, six hundred fifty-six".