84349970482176 has 891 divisors, whose sum is σ = 288623453947101. Its totient is φ = 23657385443328.

The previous prime is 84349970482111. The next prime is 84349970482177. The reversal of 84349970482176 is 67128407994348.

The square root of 84349970482176 is 9184224.

It is a perfect power (a square), and thus also a powerful number.

84349970482176 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 9 + 9 + 70 + 482 + 1 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76729190630400 + 7620779851776 = 8759520^2 + 2760576^2 .

It is a super-2 number, since 2×84349970482176² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (84349970482177) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 487572083626 + ... + 487572083798.

Almost surely, 2^{84349970482176} is an apocalyptic number.

84349970482176 is the 9184224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84349970482176

84349970482176 is an abundant number, since it is smaller than the sum of its proper divisors (204273483464925).

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

84349970482176 is an equidigital number, since it uses as much as digits as its factorization.

84349970482176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 84349970482176 in words is "eighty-four trillion, three hundred forty-nine billion, nine hundred seventy million, four hundred eighty-two thousand, one hundred seventy-six".