84133145284608 has 832 divisors, whose sum is σ = 266549031936000. Its totient is φ = 23587279994880.

The previous prime is 84133145284607. The next prime is 84133145284609. The reversal of 84133145284608 is 80648254133148.

84133145284608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (84133145284607) and next prime (84133145284609).

It is a super-2 number, since 2×84133145284608² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84133145284607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78702661098 + ... + 78702662166.

Almost surely, 2^{84133145284608} 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 84133145284608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133274515968000).

84133145284608 is an abundant number, since it is smaller than the sum of its proper divisors (182415886651392).

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

84133145284608 is a wasteful number, since it uses less digits than its factorization.

84133145284608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 84133145284608 in words is "eighty-four trillion, one hundred thirty-three billion, one hundred forty-five million, two hundred eighty-four thousand, six hundred eight".