6138848628900 has 243 divisors, whose sum is σ = 20839162080009. Its totient is φ = 1510863344640.

The previous prime is 6138848628889. The next prime is 6138848628901. The reversal of 6138848628900 is 98268488316.

The square root of 6138848628900 is 2477670.

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

6138848628900 is a `hidden beast` number, since 61 + 3 + 8 + 8 + 486 + 2 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5866965641124 + 271882987776 = 2422182^2 + 521424^2 .

It is not an unprimeable number, because it can be changed into a prime (6138848628901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 966288124 + ... + 966294476.

Almost surely, 2^{6138848628900} is an apocalyptic number.

6138848628900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6138848628900 is the 2477670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6138848628900

6138848628900 is an abundant number, since it is smaller than the sum of its proper divisors (14700313451109).

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

6138848628900 is a wasteful number, since it uses less digits than its factorization.

6138848628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 6138848628900 in words is "six trillion, one hundred thirty-eight billion, eight hundred forty-eight million, six hundred twenty-eight thousand, nine hundred".