6066812348100 has 729 divisors, whose sum is σ = 22806714692853. Its totient is φ = 1344965368320.

The previous prime is 6066812348087. The next prime is 6066812348141. The reversal of 6066812348100 is 18432186606.

6066812348100 = 1³ + 2³ + ... + 2219³.

The square root of 6066812348100 is 2463090.

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

6066812348100 is a `hidden beast` number, since 606 + 6 + 8 + 1 + 2 + 34 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4398189118596 + 1668623229504 = 2097186^2 + 1291752^2 .

It is a super-2 number, since 2×6066812348100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 19138209142 + ... + 19138209458.

Almost surely, 2^{6066812348100} is an apocalyptic number.

6066812348100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6066812348100 is the 2463090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066812348100

6066812348100 is an abundant number, since it is smaller than the sum of its proper divisors (16739902344753).

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

6066812348100 is a wasteful number, since it uses less digits than its factorization.

6066812348100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 6066812348100 in words is "six trillion, sixty-six billion, eight hundred twelve million, three hundred forty-eight thousand, one hundred".