8683148160000 has 1540 divisors, whose sum is σ = 33465951055152. Its totient is φ = 2248445952000.

The previous prime is 8683148159999. The next prime is 8683148160007. The reversal of 8683148160000 is 618413868.

It is a happy number.

8683148160000 is a `hidden beast` number, since 8 + 6 + 8 + 31 + 4 + 8 + 1 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×8683148160000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8683148160007) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 17262719749 + ... + 17262720251.

Almost surely, 2^{8683148160000} is an apocalyptic number.

8683148160000 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 8683148160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732975527576).

8683148160000 is an abundant number, since it is smaller than the sum of its proper divisors (24782802895152).

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

8683148160000 is an frugal number, since it uses more digits than its factorization.

8683148160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 8683148160000 in words is "eight trillion, six hundred eighty-three billion, one hundred forty-eight million, one hundred sixty thousand".