533746991517696 has 3328 divisors, whose sum is σ = 1987228339200000. Its totient is φ = 139562928046080.

The previous prime is 533746991517683. The next prime is 533746991517703. The reversal of 533746991517696 is 696715199647335.

533746991517696 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 4 + 6 + 9 + 9 + 1 + 517 + 6 + 96 = 666.

It is a super-2 number, since 2×533746991517696² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1372100235070 + ... + 1372100235458.

It is an arithmetic number, because the mean of its divisors is an integer number (597123900000).

Almost surely, 2^{533746991517696} 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 533746991517696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993614169600000).

533746991517696 is an abundant number, since it is smaller than the sum of its proper divisors (1453481347682304).

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

533746991517696 is a wasteful number, since it uses less digits than its factorization.

533746991517696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 565 counting only the distinct ones).

The product of its digits is 6944162400, while the sum is 81.

The spelling of 533746991517696 in words is "five hundred thirty-three trillion, seven hundred forty-six billion, nine hundred ninety-one million, five hundred seventeen thousand, six hundred ninety-six".