84482677628448 has 96 divisors (see below), whose sum is σ = 244068620910912. Its totient is φ = 25374255513600.

The previous prime is 84482677628431. The next prime is 84482677628473.

84482677628448 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353874193 + ... + 354112848.

It is an arithmetic number, because the mean of its divisors is an integer number (2542381467822).

Almost surely, 2^{84482677628448} is an apocalyptic number.

84482677628448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84482677628448 is an abundant number, since it is smaller than the sum of its proper divisors (159585943282464).

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

84482677628448 is a wasteful number, since it uses less digits than its factorization.

84482677628448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707987178 (or 707987170 counting only the distinct ones).

The product of its digits is 7398752256, while the sum is 78.

The spelling of 84482677628448 in words is "eighty-four trillion, four hundred eighty-two billion, six hundred seventy-seven million, six hundred twenty-eight thousand, four hundred forty-eight".