8638801609152 has 448 divisors, whose sum is σ = 27532001710080. Its totient is φ = 2355430195200.

The previous prime is 8638801609117. The next prime is 8638801609189. The reversal of 8638801609152 is 2519061088368.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8638801609092 and 8638801609101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1619873878 + ... + 1619879210.

It is an arithmetic number, because the mean of its divisors is an integer number (61455360960).

Almost surely, 2^{8638801609152} is an apocalyptic number.

8638801609152 is a gapful number since it is divisible by the number (82) 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 8638801609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766000855040).

8638801609152 is an abundant number, since it is smaller than the sum of its proper divisors (18893200100928).

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

8638801609152 is a wasteful number, since it uses less digits than its factorization.

8638801609152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 8638801609152 in words is "eight trillion, six hundred thirty-eight billion, eight hundred one million, six hundred nine thousand, one hundred fifty-two".