8874438098976 has 144 divisors (see below), whose sum is σ = 26724546032184. Its totient is φ = 2783788204032.

The previous prime is 8874438098963. The next prime is 8874438099029. The reversal of 8874438098976 is 6798908344788.

8874438098976 is a `hidden beast` number, since 8 + 8 + 7 + 4 + 438 + 0 + 98 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8473338810000 + 401099288976 = 2910900^2 + 633324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 8874438098895 and 8874438098904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40395060 + ... + 40614156.

Almost surely, 2^{8874438098976} 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 8874438098976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362273016092).

8874438098976 is an abundant number, since it is smaller than the sum of its proper divisors (17850107933208).

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

8874438098976 is a wasteful number, since it uses less digits than its factorization.

8874438098976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227403 (or 227392 counting only the distinct ones).

The product of its (nonzero) digits is 4682022912, while the sum is 81.

The spelling of 8874438098976 in words is "eight trillion, eight hundred seventy-four billion, four hundred thirty-eight million, ninety-eight thousand, nine hundred seventy-six".