533198958336 has 1152 divisors, whose sum is σ = 1902211153920. Its totient is φ = 145494835200.

The previous prime is 533198958301. The next prime is 533198958373. The reversal of 533198958336 is 633859891335.

533198958336 is a `hidden beast` number, since 5 + 3 + 3 + 19 + 8 + 9 + 583 + 36 = 666.

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

It is a super-2 number, since 2×533198958336² (a number of 24 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 127 ways as a sum of consecutive naturals, for example, 4070220991 + ... + 4070221121.

It is an arithmetic number, because the mean of its divisors is an integer number (1651224960).

Almost surely, 2^533198958336 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 533198958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951105576960).

533198958336 is an abundant number, since it is smaller than the sum of its proper divisors (1369012195584).

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

533198958336 is a wasteful number, since it uses less digits than its factorization.

533198958336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 533198958336 in words is "five hundred thirty-three billion, one hundred ninety-eight million, nine hundred fifty-eight thousand, three hundred thirty-six".