84663436648 has 64 divisors (see below), whose sum is σ = 183574638720. Its totient is φ = 35855136000.

The previous prime is 84663436643. The next prime is 84663436691.

It is a happy number.

84663436648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84663436592 and 84663436601.

It is not an unprimeable number, because it can be changed into a prime (84663436643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2943778 + ... + 2972398.

It is an arithmetic number, because the mean of its divisors is an integer number (2868353730).

Almost surely, 2^84663436648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84663436648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91787319360).

84663436648 is an abundant number, since it is smaller than the sum of its proper divisors (98911202072).

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

84663436648 is a wasteful number, since it uses less digits than its factorization.

84663436648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29258 (or 29254 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 58.

The spelling of 84663436648 in words is "eighty-four billion, six hundred sixty-three million, four hundred thirty-six thousand, six hundred forty-eight".