4814875088100 has 648 divisors, whose sum is σ = 19345551388800. Its totient is φ = 1000485763200.

The previous prime is 4814875088083. The next prime is 4814875088123. The reversal of 4814875088100 is 18805784184.

4814875088100 is a `hidden beast` number, since 4 + 8 + 1 + 487 + 50 + 8 + 8 + 100 = 666.

It is a super-2 number, since 2×4814875088100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 37288249 + ... + 37417151.

Almost surely, 2^{4814875088100} 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 4814875088100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9672775694400).

4814875088100 is an abundant number, since it is smaller than the sum of its proper divisors (14530676300700).

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

4814875088100 is a wasteful number, since it uses less digits than its factorization.

4814875088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128966 (or 128931 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 4814875088100 in words is "four trillion, eight hundred fourteen billion, eight hundred seventy-five million, eighty-eight thousand, one hundred".