84943757930304 has 224 divisors, whose sum is σ = 276925749440256. Its totient is φ = 22377316515840.

The previous prime is 84943757930249. The next prime is 84943757930323. The reversal of 84943757930304 is 40303975734948.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×84943757930304² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12633634 + ... + 18152030.

It is an arithmetic number, because the mean of its divisors is an integer number (1236275667144).

Almost surely, 2^{84943757930304} is an apocalyptic number.

84943757930304 is a gapful number since it is divisible by the number (84) 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 84943757930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138462874720128).

84943757930304 is an abundant number, since it is smaller than the sum of its proper divisors (191981991509952).

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

84943757930304 is a wasteful number, since it uses less digits than its factorization.

84943757930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519313 (or 5519303 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 66.

The spelling of 84943757930304 in words is "eighty-four trillion, nine hundred forty-three billion, seven hundred fifty-seven million, nine hundred thirty thousand, three hundred four".