8400084484048 has 40 divisors (see below), whose sum is σ = 16341194409120. Its totient is φ = 4183004496000.

The previous prime is 8400084484027. The next prime is 8400084484079. The reversal of 8400084484048 is 8404844800048.

It is a super-3 number, since 3×8400084484048³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 8400084483986 and 8400084484004.

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 7 ways as a sum of consecutive naturals, for example, 61251811 + ... + 61388797.

It is an arithmetic number, because the mean of its divisors is an integer number (408529860228).

Almost surely, 2^{8400084484048} is an apocalyptic number.

It is an amenable number.

8400084484048 is a deficient number, since it is larger than the sum of its proper divisors (7941109925072).

8400084484048 is a wasteful number, since it uses less digits than its factorization.

8400084484048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152515 (or 152509 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 52.

The spelling of 8400084484048 in words is "eight trillion, four hundred billion, eighty-four million, four hundred eighty-four thousand, forty-eight".