8117427792100 has 243 divisors, whose sum is σ = 19740436277961. Its totient is φ = 2895151617600.

The previous prime is 8117427791983. The next prime is 8117427792127. The reversal of 8117427792100 is 12977247118.

It is a happy number.

The square root of 8117427792100 is 2849110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2922274005156 + 5195153786944 = 1709466^2 + 2279288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18490723681 + ... + 18490724119.

Almost surely, 2^{8117427792100} is an apocalyptic number.

8117427792100 is the 2849110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8117427792100

8117427792100 is an abundant number, since it is smaller than the sum of its proper divisors (11623008485861).

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

8117427792100 is a wasteful number, since it uses less digits than its factorization.

8117427792100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 49.

Multiplying 8117427792100 by its sum of digits (49), we get a square (397753961812900 = 19943770²).

The spelling of 8117427792100 in words is "eight trillion, one hundred seventeen billion, four hundred twenty-seven million, seven hundred ninety-two thousand, one hundred".