84462182352 has 100 divisors (see below), whose sum is σ = 245367838980. Its totient is φ = 28049283072.

The previous prime is 84462182347. The next prime is 84462182353. The reversal of 84462182352 is 25328126448.

84462182352 is a `hidden beast` number, since 8 + 4 + 462 + 182 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2881112976 + 81581069376 = 53676^2 + 285624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84462182298 and 84462182307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84462182353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227488 + ... + 469760.

Almost surely, 2^84462182352 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 84462182352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122683919490).

84462182352 is an abundant number, since it is smaller than the sum of its proper divisors (160905656628).

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

84462182352 is a wasteful number, since it uses less digits than its factorization.

84462182352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242562 (or 242547 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 84462182352 in words is "eighty-four billion, four hundred sixty-two million, one hundred eighty-two thousand, three hundred fifty-two".