84346409216160 has 768 divisors, whose sum is σ = 363446174085120. Its totient is φ = 17790885826560.

The previous prime is 84346409216141. The next prime is 84346409216171. The reversal of 84346409216160 is 6161290464348.

84346409216160 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 6 + 409 + 216 + 16 + 0 = 666.

It is a super-2 number, since 2×84346409216160² (a number of 29 digits) contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 84346409216097 and 84346409216106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1403801479 + ... + 1403861561.

It is an arithmetic number, because the mean of its divisors is an integer number (473237205840).

Almost surely, 2^{84346409216160} is an apocalyptic number.

84346409216160 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 84346409216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181723087042560).

84346409216160 is an abundant number, since it is smaller than the sum of its proper divisors (279099764868960).

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

84346409216160 is a wasteful number, since it uses less digits than its factorization.

84346409216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63698 (or 63684 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 84346409216160 in words is "eighty-four trillion, three hundred forty-six billion, four hundred nine million, two hundred sixteen thousand, one hundred sixty".