8145850752 has 256 divisors, whose sum is σ = 27020044800. Its totient is φ = 2397136896.

The previous prime is 8145850733. The next prime is 8145850763. The reversal of 8145850752 is 2570585418.

8145850752 is a `hidden beast` number, since 8 + 14 + 585 + 0 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8145850698 and 8145850707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029403 + ... + 1037285.

It is an arithmetic number, because the mean of its divisors is an integer number (105547050).

Almost surely, 2^8145850752 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 8145850752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510022400).

8145850752 is an abundant number, since it is smaller than the sum of its proper divisors (18874194048).

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

8145850752 is a wasteful number, since it uses less digits than its factorization.

8145850752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 8145850752 is about 90254.3669414395. The cubic root of 8145850752 is about 2012.0811058347.

The spelling of 8145850752 in words is "eight billion, one hundred forty-five million, eight hundred fifty thousand, seven hundred fifty-two".