84917007648 has 432 divisors, whose sum is σ = 284968992672. Its totient is φ = 23770368000.

The previous prime is 84917007589. The next prime is 84917007697. The reversal of 84917007648 is 84670071948.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84917007594 and 84917007603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46888663 + ... + 46890473.

It is an arithmetic number, because the mean of its divisors is an integer number (659650446).

Almost surely, 2^84917007648 is an apocalyptic number.

84917007648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84917007648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142484496336).

84917007648 is an abundant number, since it is smaller than the sum of its proper divisors (200051985024).

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

84917007648 is a wasteful number, since it uses less digits than its factorization.

84917007648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 84917007648 in words is "eighty-four billion, nine hundred seventeen million, seven thousand, six hundred forty-eight".