8941467981600 has 4860 divisors, whose sum is σ = 45371246691078. Its totient is φ = 1701413683200.

The previous prime is 8941467981599. The next prime is 8941467981619. The reversal of 8941467981600 is 61897641498.

8941467981600 is a `hidden beast` number, since 8 + 9 + 4 + 1 + 467 + 9 + 8 + 160 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5078875220496 + 3862592761104 = 2253636^2 + 1965348^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 809 ways as a sum of consecutive naturals, for example, 241661296782 + ... + 241661296818.

Almost surely, 2^{8941467981600} is an apocalyptic number.

8941467981600 is a gapful number since it is divisible by the number (80) 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 8941467981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685623345539).

8941467981600 is an abundant number, since it is smaller than the sum of its proper divisors (36429778709478).

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

8941467981600 is a wasteful number, since it uses less digits than its factorization.

8941467981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 8941467981600 in words is "eight trillion, nine hundred forty-one billion, four hundred sixty-seven million, nine hundred eighty-one thousand, six hundred".