84459403161 has 75 divisors (see below), whose sum is σ = 147410638661. Its totient is φ = 48189280104.

The previous prime is 84459403129. The next prime is 84459403183. The reversal of 84459403161 is 16130495448.

The square root of 84459403161 is 290619.

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

84459403161 is a `hidden beast` number, since 8 + 44 + 594 + 0 + 3 + 16 + 1 = 666.

It is not a de Polignac number, because 84459403161 - 2⁵ = 84459403129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84459403361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 128162650 + ... + 128163308.

Almost surely, 2^84459403161 is an apocalyptic number.

84459403161 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84459403161 is the 290619-th square number.

84459403161 is the 145310-th centered octagonal number.

It is an amenable number.

84459403161 is a deficient number, since it is larger than the sum of its proper divisors (62951235500).

84459403161 is an frugal number, since it uses more digits than its factorization.

84459403161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 84459403161 in words is "eighty-four billion, four hundred fifty-nine million, four hundred three thousand, one hundred sixty-one".