84646355364648 has 768 divisors, whose sum is σ = 300889645056000. Its totient is φ = 20855667456000.

The previous prime is 84646355364587. The next prime is 84646355364691.

It is a happy number.

84646355364648 is a `hidden beast` number, since 8 + 4 + 6 + 4 + 6 + 3 + 5 + 536 + 46 + 48 = 666.

84646355364648 is nontrivially palindromic in base 10.

84646355364648 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11212919178 + ... + 11212926726.

It is an arithmetic number, because the mean of its divisors is an integer number (391783392000).

Almost surely, 2^{84646355364648} is an apocalyptic number.

84646355364648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84646355364648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150444822528000).

84646355364648 is an abundant number, since it is smaller than the sum of its proper divisors (216243289691352).

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

84646355364648 is a wasteful number, since it uses less digits than its factorization.

84646355364648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 8887 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 84646355364648 in words is "eighty-four trillion, six hundred forty-six billion, three hundred fifty-five million, three hundred sixty-four thousand, six hundred forty-eight".