8503143264 has 864 divisors, whose sum is σ = 34232284800. Its totient is φ = 2024870400.

The previous prime is 8503143203. The next prime is 8503143269. The reversal of 8503143264 is 4623413058.

8503143264 is a `hidden beast` number, since 8 + 503 + 143 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×8503143264³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8503143269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 274294929 + ... + 274294959.

It is an arithmetic number, because the mean of its divisors is an integer number (39620700).

Almost surely, 2^8503143264 is an apocalyptic number.

8503143264 is a gapful number since it is divisible by the number (84) 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 8503143264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116142400).

8503143264 is an abundant number, since it is smaller than the sum of its proper divisors (25729141536).

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

8503143264 is a wasteful number, since it uses less digits than its factorization.

8503143264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8503143264 is about 92212.4897397310. The cubic root of 8503143264 is about 2041.0790830843.

The spelling of 8503143264 in words is "eight billion, five hundred three million, one hundred forty-three thousand, two hundred sixty-four".