8149345075200 has 2304 divisors, whose sum is σ = 33795172684800. Its totient is φ = 1724173516800.

The previous prime is 8149345075187. The next prime is 8149345075219. The reversal of 8149345075200 is 25705439418.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8149345075200.

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, 138124492771 + ... + 138124492829.

It is an arithmetic number, because the mean of its divisors is an integer number (14668043700).

Almost surely, 2^{8149345075200} is an apocalyptic number.

8149345075200 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 8149345075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897586342400).

8149345075200 is an abundant number, since it is smaller than the sum of its proper divisors (25645827609600).

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

8149345075200 is a wasteful number, since it uses less digits than its factorization.

8149345075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 8149345075200 in words is "eight trillion, one hundred forty-nine billion, three hundred forty-five million, seventy-five thousand, two hundred".