8890449492672 has 896 divisors, whose sum is σ = 31550960885760. Its totient is φ = 2453583052800.

The previous prime is 8890449492643. The next prime is 8890449492697. The reversal of 8890449492672 is 2762949440988.

8890449492672 is a `hidden beast` number, since 8 + 8 + 90 + 4 + 49 + 492 + 6 + 7 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8890449492672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 811389018 + ... + 811399974.

Almost surely, 2^{8890449492672} 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 8890449492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775480442880).

8890449492672 is an abundant number, since it is smaller than the sum of its proper divisors (22660511393088).

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

8890449492672 is a wasteful number, since it uses less digits than its factorization.

8890449492672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049 (or 11021 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 8890449492672 in words is "eight trillion, eight hundred ninety billion, four hundred forty-nine million, four hundred ninety-two thousand, six hundred seventy-two".