8453145600 has 396 divisors, whose sum is σ = 31875720240. Its totient is φ = 2134425600.

The previous prime is 8453145563. The next prime is 8453145667. The reversal of 8453145600 is 65413548.

It is a happy number.

8453145600 is a `hidden beast` number, since 8 + 4 + 5 + 3 + 1 + 45 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4376635 + ... + 4378565.

Almost surely, 2^8453145600 is an apocalyptic number.

8453145600 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 8453145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937860120).

8453145600 is an abundant number, since it is smaller than the sum of its proper divisors (23422574640).

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

8453145600 is a wasteful number, since it uses less digits than its factorization.

8453145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8453145600 is about 91940.9897706132. The cubic root of 8453145600 is about 2037.0707670970.

The spelling of 8453145600 in words is "eight billion, four hundred fifty-three million, one hundred forty-five thousand, six hundred".