84321400412348 has 72 divisors (see below), whose sum is σ = 163457736849792. Its totient is φ = 38030012020000.

The previous prime is 84321400412309. The next prime is 84321400412399.

84321400412348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84321400412348² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 84321400412299 and 84321400412308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472333961 + ... + 472512447.

It is an arithmetic number, because the mean of its divisors is an integer number (2270246345136).

Almost surely, 2^{84321400412348} is an apocalyptic number.

It is an amenable number.

84321400412348 is a deficient number, since it is larger than the sum of its proper divisors (79136336437444).

84321400412348 is a wasteful number, since it uses less digits than its factorization.

84321400412348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186095 (or 186082 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

It can be divided in two parts, 84321400 and 412348, that added together give a palindrome (84733748).

The spelling of 84321400412348 in words is "eighty-four trillion, three hundred twenty-one billion, four hundred million, four hundred twelve thousand, three hundred forty-eight".