4561187275008 has 648 divisors, whose sum is σ = 17444121386328. Its totient is φ = 1132182503424.

The previous prime is 4561187275003. The next prime is 4561187275027. The reversal of 4561187275008 is 8005727811654.

4561187275008 is a `hidden beast` number, since 4 + 5 + 61 + 1 + 8 + 72 + 7 + 500 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1831713214464 + 2729474060544 = 1353408^2 + 1652112^2 .

It is not an unprimeable number, because it can be changed into a prime (4561187275003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24858610 + ... + 25041422.

It is an arithmetic number, because the mean of its divisors is an integer number (26919940411).

Almost surely, 2^{4561187275008} is an apocalyptic number.

4561187275008 is a gapful number since it is divisible by the number (48) 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 4561187275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722060693164).

4561187275008 is an abundant number, since it is smaller than the sum of its proper divisors (12882934111320).

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

4561187275008 is a wasteful number, since it uses less digits than its factorization.

4561187275008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182879 (or 182855 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 4561187275008 in words is "four trillion, five hundred sixty-one billion, one hundred eighty-seven million, two hundred seventy-five thousand, eight".