8493134601600 has 2688 divisors, whose sum is σ = 36168421903200. Its totient is φ = 1950842880000.

The previous prime is 8493134601517. The next prime is 8493134601631. The reversal of 8493134601600 is 61064313948.

8493134601600 is a `hidden beast` number, since 8 + 4 + 9 + 3 + 1 + 34 + 6 + 0 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 75160483144 + ... + 75160483256.

Almost surely, 2^{8493134601600} is an apocalyptic number.

8493134601600 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 8493134601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084210951600).

8493134601600 is an abundant number, since it is smaller than the sum of its proper divisors (27675287301600).

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

8493134601600 is a wasteful number, since it uses less digits than its factorization.

8493134601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 8493134601600 in words is "eight trillion, four hundred ninety-three billion, one hundred thirty-four million, six hundred one thousand, six hundred".