84338555583348 has 144 divisors (see below), whose sum is σ = 245504002161600. Its totient is φ = 24143435458560.

The previous prime is 84338555583343. The next prime is 84338555583407.

84338555583348 is a `hidden beast` number, since 8 + 4 + 3 + 3 + 8 + 5 + 5 + 5 + 583 + 34 + 8 = 666.

84338555583348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84338555583348² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84338555583343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13221183 + ... + 18533126.

It is an arithmetic number, because the mean of its divisors is an integer number (1704888903900).

Almost surely, 2^{84338555583348} is an apocalyptic number.

It is an amenable number.

84338555583348 is an abundant number, since it is smaller than the sum of its proper divisors (161165446578252).

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

84338555583348 is a wasteful number, since it uses less digits than its factorization.

84338555583348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31754702 (or 31754697 counting only the distinct ones).

The product of its digits is 3317760000, while the sum is 72.

The spelling of 84338555583348 in words is "eighty-four trillion, three hundred thirty-eight billion, five hundred fifty-five million, five hundred eighty-three thousand, three hundred forty-eight".