8453125968 has 480 divisors, whose sum is σ = 28942147584. Its totient is φ = 2070503424.

The previous prime is 8453125963. The next prime is 8453125981. The reversal of 8453125968 is 8695213548.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 8453125968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8453125963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179853721 + ... + 179853767.

Almost surely, 2^8453125968 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 8453125968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471073792).

8453125968 is an abundant number, since it is smaller than the sum of its proper divisors (20489021616).

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

8453125968 is a wasteful number, since it uses less digits than its factorization.

8453125968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 136 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 8453125968 is about 91940.8830064189. The cubic root of 8453125968 is about 2037.0691900981.

It can be divided in two parts, 8453 and 125968, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 8453125968 in words is "eight billion, four hundred fifty-three million, one hundred twenty-five thousand, nine hundred sixty-eight".