533994190563456 has 1152 divisors, whose sum is σ = 1816777473638400. Its totient is φ = 150095543463936.

The previous prime is 533994190563437. The next prime is 533994190563461. The reversal of 533994190563456 is 654365091499335.

533994190563456 is a `hidden beast` number, since 5 + 3 + 3 + 9 + 9 + 4 + 1 + 9 + 0 + 563 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 830473079871 + ... + 830473080513.

It is an arithmetic number, because the mean of its divisors is an integer number (1577063779200).

Almost surely, 2^{533994190563456} is an apocalyptic number.

533994190563456 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 533994190563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908388736819200).

533994190563456 is an abundant number, since it is smaller than the sum of its proper divisors (1282783283074944).

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

533994190563456 is a wasteful number, since it uses less digits than its factorization.

533994190563456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 1417176000, while the sum is 72.

The spelling of 533994190563456 in words is "five hundred thirty-three trillion, nine hundred ninety-four billion, one hundred ninety million, five hundred sixty-three thousand, four hundred fifty-six".