8145165600 has 864 divisors, whose sum is σ = 35112377664. Its totient is φ = 1816473600.

The previous prime is 8145165599. The next prime is 8145165629. The reversal of 8145165600 is 65615418.

8145165600 is a `hidden beast` number, since 8 + 1 + 45 + 1 + 6 + 5 + 600 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 27799054 + ... + 27799346.

It is an arithmetic number, because the mean of its divisors is an integer number (40639326).

Almost surely, 2^8145165600 is an apocalyptic number.

8145165600 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 8145165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556188832).

8145165600 is an abundant number, since it is smaller than the sum of its proper divisors (26967212064).

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

8145165600 is a wasteful number, since it uses less digits than its factorization.

8145165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8145165600 is about 90250.5711893282. The cubic root of 8145165600 is about 2012.0246918357.

The spelling of 8145165600 in words is "eight billion, one hundred forty-five million, one hundred sixty-five thousand, six hundred".