8874401335296 has 576 divisors, whose sum is σ = 28626477909120. Its totient is φ = 2393446809600.

The previous prime is 8874401335207. The next prime is 8874401335301. The reversal of 8874401335296 is 6925331044788.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694555590 + ... + 1694560826.

It is an arithmetic number, because the mean of its divisors is an integer number (49698746370).

It is a 1-persistent number, because it is pandigital, but 2⋅8874401335296 = 17748802670592 is not.

Almost surely, 2^{8874401335296} 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 8874401335296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313238954560).

8874401335296 is an abundant number, since it is smaller than the sum of its proper divisors (19752076573824).

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

8874401335296 is a wasteful number, since it uses less digits than its factorization.

8874401335296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 8874401335296 in words is "eight trillion, eight hundred seventy-four billion, four hundred one million, three hundred thirty-five thousand, two hundred ninety-six".