8689054518144 has 1152 divisors, whose sum is σ = 34077569460480. Its totient is φ = 2063438807040.

The previous prime is 8689054518061. The next prime is 8689054518181. The reversal of 8689054518144 is 4418154509868.

It is a happy number.

8689054518144 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 0 + 545 + 1 + 81 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1604031724 + ... + 1604037140.

It is an arithmetic number, because the mean of its divisors is an integer number (29581223490).

Almost surely, 2^{8689054518144} is an apocalyptic number.

8689054518144 is a gapful number since it is divisible by the number (84) 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 8689054518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038784730240).

8689054518144 is an abundant number, since it is smaller than the sum of its proper divisors (25388514942336).

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

8689054518144 is a wasteful number, since it uses less digits than its factorization.

8689054518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 8689054518144 in words is "eight trillion, six hundred eighty-nine billion, fifty-four million, five hundred eighteen thousand, one hundred forty-four".