8856936938304 has 672 divisors, whose sum is σ = 31535152836096. Its totient is φ = 2314316759040.

The previous prime is 8856936938303. The next prime is 8856936938321. The reversal of 8856936938304 is 4038396396588.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8856936938303) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3267035509 + ... + 3267038219.

It is an arithmetic number, because the mean of its divisors is an integer number (46927310768).

Almost surely, 2^{8856936938304} is an apocalyptic number.

8856936938304 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 8856936938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767576418048).

8856936938304 is an abundant number, since it is smaller than the sum of its proper divisors (22678215897792).

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

8856936938304 is a wasteful number, since it uses less digits than its factorization.

8856936938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 8856936938304 in words is "eight trillion, eight hundred fifty-six billion, nine hundred thirty-six million, nine hundred thirty-eight thousand, three hundred four".