8945653385088 has 896 divisors, whose sum is σ = 31682501748480. Its totient is φ = 2461698957312.

The previous prime is 8945653385059. The next prime is 8945653385129. The reversal of 8945653385088 is 8805833565498.

8945653385088 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 6 + 533 + 8 + 5 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×8945653385088² (a number of 27 digits) contains 22 as substring.

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 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 111 ways as a sum of consecutive naturals, for example, 2050342395 + ... + 2050346757.

Almost surely, 2^{8945653385088} 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 8945653385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841250874240).

8945653385088 is an abundant number, since it is smaller than the sum of its proper divisors (22736848363392).

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

8945653385088 is an equidigital number, since it uses as much as digits as its factorization.

8945653385088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 8945653385088 in words is "eight trillion, nine hundred forty-five billion, six hundred fifty-three million, three hundred eighty-five thousand, eighty-eight".