84146280064 has 128 divisors (see below), whose sum is σ = 211864510080. Its totient is φ = 32334888960.

The previous prime is 84146280047. The next prime is 84146280067. The reversal of 84146280064 is 46008264148.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 84146280064.

It is not an unprimeable number, because it can be changed into a prime (84146280067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661012 + ... + 777964.

It is an arithmetic number, because the mean of its divisors is an integer number (1655191485).

Almost surely, 2^84146280064 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 84146280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105932255040).

84146280064 is an abundant number, since it is smaller than the sum of its proper divisors (127718230016).

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

84146280064 is a wasteful number, since it uses less digits than its factorization.

84146280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117058 (or 117046 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 84146280064 in words is "eighty-four billion, one hundred forty-six million, two hundred eighty thousand, sixty-four".