83304646128 has 640 divisors, whose sum is σ = 282556200960. Its totient is φ = 23247544320.

The previous prime is 83304646111. The next prime is 83304646129. The reversal of 83304646128 is 82164640338.

83304646128 is a `hidden beast` number, since 83 + 30 + 464 + 61 + 28 = 666.

It is a super-2 number, since 2×83304646128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83304646129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422866126 + ... + 422866322.

It is an arithmetic number, because the mean of its divisors is an integer number (441494064).

Almost surely, 2^83304646128 is an apocalyptic number.

83304646128 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 83304646128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141278100480).

83304646128 is an abundant number, since it is smaller than the sum of its proper divisors (199251554832).

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

83304646128 is a wasteful number, since it uses less digits than its factorization.

83304646128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 83304646128 in words is "eighty-three billion, three hundred four million, six hundred forty-six thousand, one hundred twenty-eight".