84613044031648 has 48 divisors (see below), whose sum is σ = 189626861543616. Its totient is φ = 36788280010240.

The previous prime is 84613044031643. The next prime is 84613044031699.

84613044031648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84613044031595 and 84613044031604.

It is not an unprimeable number, because it can be changed into a prime (84613044031643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5225599861 + ... + 5225616052.

It is an arithmetic number, because the mean of its divisors is an integer number (3950559615492).

Almost surely, 2^{84613044031648} is an apocalyptic number.

84613044031648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84613044031648 is an abundant number, since it is smaller than the sum of its proper divisors (105013817511968).

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

84613044031648 is a wasteful number, since it uses less digits than its factorization.

84613044031648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451215957 (or 10451215949 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 84613044031648 in words is "eighty-four trillion, six hundred thirteen billion, forty-four million, thirty-one thousand, six hundred forty-eight".