84638283441408 has 432 divisors, whose sum is σ = 252433884358656. Its totient is φ = 27257176719360.

The previous prime is 84638283441329. The next prime is 84638283441433. The reversal of 84638283441408 is 80414438283648.

It is a happy number.

84638283441408 is a `hidden beast` number, since 8 + 4 + 63 + 82 + 83 + 4 + 414 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4240172548 + ... + 4240192508.

Almost surely, 2^{84638283441408} 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 84638283441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126216942179328).

84638283441408 is an abundant number, since it is smaller than the sum of its proper divisors (167795600917248).

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

84638283441408 is a wasteful number, since it uses less digits than its factorization.

84638283441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20490 (or 20473 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 84638283441408 in words is "eighty-four trillion, six hundred thirty-eight billion, two hundred eighty-three million, four hundred forty-one thousand, four hundred eight".