84344665342320 has 240 divisors, whose sum is σ = 293762708733312. Its totient is φ = 22490824331520.

The previous prime is 84344665342309. The next prime is 84344665342351. The reversal of 84344665342320 is 2324356644348.

84344665342320 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 4 + 66 + 534 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×84344665342320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452683899 + ... + 452870181.

Almost surely, 2^{84344665342320} is an apocalyptic number.

84344665342320 is a gapful number since it is divisible by the number (80) 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 84344665342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146881354366656).

84344665342320 is an abundant number, since it is smaller than the sum of its proper divisors (209418043390992).

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

84344665342320 is a wasteful number, since it uses less digits than its factorization.

84344665342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209602 (or 209584 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 84344665342320 in words is "eighty-four trillion, three hundred forty-four billion, six hundred sixty-five million, three hundred forty-two thousand, three hundred twenty".