8253453456 has 60 divisors (see below), whose sum is σ = 23157742140. Its totient is φ = 2744060160.

The previous prime is 8253453449. The next prime is 8253453473. The reversal of 8253453456 is 6543543528.

8253453456 is a `hidden beast` number, since 82 + 5 + 34 + 534 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3014010000 + 5239443456 = 54900^2 + 72384^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17655 + ... + 129686.

It is an arithmetic number, because the mean of its divisors is an integer number (385962369).

Almost surely, 2^8253453456 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 8253453456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11578871070).

8253453456 is an abundant number, since it is smaller than the sum of its proper divisors (14904288684).

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

8253453456 is a wasteful number, since it uses less digits than its factorization.

8253453456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147744 (or 147735 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 8253453456 is about 90848.5192834754. The cubic root of 8253453456 is about 2020.9019153148.

The spelling of 8253453456 in words is "eight billion, two hundred fifty-three million, four hundred fifty-three thousand, four hundred fifty-six".