84302187648 has 384 divisors, whose sum is σ = 271872921600. Its totient is φ = 22648688640.

The previous prime is 84302187647. The next prime is 84302187653. The reversal of 84302187648 is 84678120348.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 84302187648.

It is not an unprimeable number, because it can be changed into a prime (84302187647) 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, 114075663 + ... + 114076401.

It is an arithmetic number, because the mean of its divisors is an integer number (708002400).

Almost surely, 2^84302187648 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 84302187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135936460800).

84302187648 is an abundant number, since it is smaller than the sum of its proper divisors (187570733952).

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

84302187648 is a wasteful number, since it uses less digits than its factorization.

84302187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 84302187648 in words is "eighty-four billion, three hundred two million, one hundred eighty-seven thousand, six hundred forty-eight".