8234546768100 has 243 divisors, whose sum is σ = 26466958345009. Its totient is φ = 2141402841600.

The previous prime is 8234546768089. The next prime is 8234546768113. The reversal of 8234546768100 is 18676454328.

It is a happy number.

The square root of 8234546768100 is 2869590.

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

8234546768100 is a `hidden beast` number, since 8 + 2 + 34 + 546 + 7 + 68 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8180641073124 + 53905694976 = 2860182^2 + 232176^2 .

It is a super-2 number, since 2×8234546768100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3529594534 + ... + 3529596866.

Almost surely, 2^{8234546768100} is an apocalyptic number.

8234546768100 is the 2869590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8234546768100

8234546768100 is an abundant number, since it is smaller than the sum of its proper divisors (18232411576909).

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

8234546768100 is a wasteful number, since it uses less digits than its factorization.

8234546768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 8234546768100 in words is "eight trillion, two hundred thirty-four billion, five hundred forty-six million, seven hundred sixty-eight thousand, one hundred".