8083533201408 has 1056 divisors, whose sum is σ = 29208455003520. Its totient is φ = 2101849620480.

The previous prime is 8083533201383. The next prime is 8083533201409. The reversal of 8083533201408 is 8041023353808.

8083533201408 is a `hidden beast` number, since 8 + 0 + 8 + 3 + 5 + 33 + 201 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (8083533201409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132516937698 + ... + 132516937758.

Almost surely, 2^{8083533201408} 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 8083533201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604227501760).

8083533201408 is an abundant number, since it is smaller than the sum of its proper divisors (21124921802112).

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

8083533201408 is an frugal number, since it uses more digits than its factorization.

8083533201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8083533201408 in words is "eight trillion, eighty-three billion, five hundred thirty-three million, two hundred one thousand, four hundred eight".