84464634384 has 495 divisors, whose sum is σ = 277868469837. Its totient is φ = 24859156608.

The previous prime is 84464634379. The next prime is 84464634421. The reversal of 84464634384 is 48343646448.

The square root of 84464634384 is 290628.

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

84464634384 is a `hidden beast` number, since 8 + 4 + 464 + 63 + 43 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12494768400 + 71969865984 = 111780^2 + 268272^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84464634384.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3672375397 + ... + 3672375419.

Almost surely, 2^84464634384 is an apocalyptic number.

84464634384 is the 290628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84464634384

84464634384 is an abundant number, since it is smaller than the sum of its proper divisors (193403835453).

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

84464634384 is an equidigital number, since it uses as much as digits as its factorization.

84464634384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 84464634384 in words is "eighty-four billion, four hundred sixty-four million, six hundred thirty-four thousand, three hundred eighty-four".