84219408088464 has 160 divisors (see below), whose sum is σ = 240367115520000. Its totient is φ = 25196185198080.

The previous prime is 84219408088451. The next prime is 84219408088469. The reversal of 84219408088464 is 46488080491248.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 84219408088395 and 84219408088404.

It is not an unprimeable number, because it can be changed into a prime (84219408088469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656858187 + ... + 656986389.

It is an arithmetic number, because the mean of its divisors is an integer number (1502294472000).

Almost surely, 2^{84219408088464} 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 84219408088464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120183557760000).

84219408088464 is an abundant number, since it is smaller than the sum of its proper divisors (156147707431536).

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

84219408088464 is a wasteful number, since it uses less digits than its factorization.

84219408088464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144053 (or 144047 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 66.

The spelling of 84219408088464 in words is "eighty-four trillion, two hundred nineteen billion, four hundred eight million, eighty-eight thousand, four hundred sixty-four".