535352403464448 has 288 divisors, whose sum is σ = 1499934058291200. Its totient is φ = 169184416186368.

The previous prime is 535352403464393. The next prime is 535352403464507. The reversal of 535352403464448 is 844464304253535.

It is a super-2 number, since 2×535352403464448² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 535352403464391 and 535352403464400.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1490185068 + ... + 1490544276.

Almost surely, 2^{535352403464448} 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 535352403464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749967029145600).

535352403464448 is an abundant number, since it is smaller than the sum of its proper divisors (964581654826752).

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

535352403464448 is a wasteful number, since it uses less digits than its factorization.

535352403464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359997 (or 359983 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 60.

The spelling of 535352403464448 in words is "five hundred thirty-five trillion, three hundred fifty-two billion, four hundred three million, four hundred sixty-four thousand, four hundred forty-eight".