8898467466240 has 3696 divisors, whose sum is σ = 39850620334560. Its totient is φ = 1891919462400.

The previous prime is 8898467466209. The next prime is 8898467466241. The reversal of 8898467466240 is 426647648988.

8898467466240 is a `hidden beast` number, since 8 + 8 + 9 + 84 + 67 + 466 + 24 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (8898467466241) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 145876515810 + ... + 145876515870.

Almost surely, 2^{8898467466240} is an apocalyptic number.

8898467466240 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 8898467466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925310167280).

8898467466240 is an abundant number, since it is smaller than the sum of its proper divisors (30952152868320).

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

8898467466240 is a wasteful number, since it uses less digits than its factorization.

8898467466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 8898467466240 in words is "eight trillion, eight hundred ninety-eight billion, four hundred sixty-seven million, four hundred sixty-six thousand, two hundred forty".