8973914945688 has 288 divisors, whose sum is σ = 30917574105600. Its totient is φ = 2301380864640.

The previous prime is 8973914945687. The next prime is 8973914945729. The reversal of 8973914945688 is 8865494193798.

8973914945688 is a `hidden beast` number, since 8 + 9 + 7 + 3 + 9 + 1 + 49 + 4 + 568 + 8 = 666.

It is a super-2 number, since 2×8973914945688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8973914945683) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3886395 + ... + 5749077.

Almost surely, 2^{8973914945688} is an apocalyptic number.

8973914945688 is a gapful number since it is divisible by the number (88) 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 8973914945688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458787052800).

8973914945688 is an abundant number, since it is smaller than the sum of its proper divisors (21943659159912).

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

8973914945688 is a wasteful number, since it uses less digits than its factorization.

8973914945688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862803 (or 1862785 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 8973914945688 in words is "eight trillion, nine hundred seventy-three billion, nine hundred fourteen million, nine hundred forty-five thousand, six hundred eighty-eight".