84217091904 has 840 divisors, whose sum is σ = 291954313728. Its totient is φ = 23950080000.

The previous prime is 84217091869. The next prime is 84217091909. The reversal of 84217091904 is 40919071248.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 84217091904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84217091909) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1186156189 + ... + 1186156259.

Almost surely, 2^84217091904 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 84217091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145977156864).

84217091904 is an abundant number, since it is smaller than the sum of its proper divisors (207737221824).

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

84217091904 is a wasteful number, since it uses less digits than its factorization.

84217091904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 84217091904 in words is "eighty-four billion, two hundred seventeen million, ninety-one thousand, nine hundred four".