84041814048 has 96 divisors (see below), whose sum is σ = 221435907840. Its totient is φ = 27909242880.

The previous prime is 84041814019. The next prime is 84041814061.

84041814048 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84041814048² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50353758 + ... + 50355426.

It is an arithmetic number, because the mean of its divisors is an integer number (2306624040).

Almost surely, 2^84041814048 is an apocalyptic number.

It is an amenable number.

84041814048 is an abundant number, since it is smaller than the sum of its proper divisors (137394093792).

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

84041814048 is a wasteful number, since it uses less digits than its factorization.

84041814048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 84041814048 in words is "eighty-four billion, forty-one million, eight hundred fourteen thousand, forty-eight".