84114411441148 has 24 divisors (see below), whose sum is σ = 161846483871744. Its totient is φ = 37932769652400.

The previous prime is 84114411441143. The next prime is 84114411441161.

It is a happy number.

84114411441148 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84114411441098 and 84114411441107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84114411441143) by changing a digit.

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, 7526337598 + ... + 7526348773.

It is an arithmetic number, because the mean of its divisors is an integer number (6743603494656).

Almost surely, 2^{84114411441148} is an apocalyptic number.

It is an amenable number.

84114411441148 is a deficient number, since it is larger than the sum of its proper divisors (77732072430596).

84114411441148 is a wasteful number, since it uses less digits than its factorization.

84114411441148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15052686513 (or 15052686511 counting only the distinct ones).

The product of its digits is 262144, while the sum is 46.

It can be divided in two parts, 8411441 and 1441148, that added together give a palindrome (9852589).

The spelling of 84114411441148 in words is "eighty-four trillion, one hundred fourteen billion, four hundred eleven million, four hundred forty-one thousand, one hundred forty-eight".