84481863334416 has 30 divisors (see below), whose sum is σ = 236431881415470. Its totient is φ = 28160621111424.

The previous prime is 84481863334399. The next prime is 84481863334441. The reversal of 84481863334416 is 61443336818448.

84481863334416 is a `hidden beast` number, since 8 + 4 + 4 + 8 + 186 + 3 + 3 + 3 + 441 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59990291715600 + 24491571618816 = 7745340^2 + 4948896^2 .

It is a super-2 number, since 2×84481863334416² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293339803101 + ... + 293339803388.

It is an arithmetic number, because the mean of its divisors is an integer number (7881062713849).

Almost surely, 2^{84481863334416} is an apocalyptic number.

It is an amenable number.

84481863334416 is an abundant number, since it is smaller than the sum of its proper divisors (151950018081054).

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

84481863334416 is a wasteful number, since it uses less digits than its factorization.

84481863334416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586679606503 (or 586679606494 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 84481863334416 in words is "eighty-four trillion, four hundred eighty-one billion, eight hundred sixty-three million, three hundred thirty-four thousand, four hundred sixteen".