6838068100900 has 81 divisors (see below), whose sum is σ = 15661829278641. Its totient is φ = 2591079634080.

The previous prime is 6838068100873. The next prime is 6838068100909. The reversal of 6838068100900 is 90018608386.

The square root of 6838068100900 is 2614970.

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., 2461704516324 + 4376363584576 = 1568982^2 + 2091976^2 .

It is a super-2 number, since 2×6838068100900² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6838068100909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 496837419 + ... + 496851181.

Almost surely, 2^{6838068100900} is an apocalyptic number.

6838068100900 is the 2614970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6838068100900

6838068100900 is an abundant number, since it is smaller than the sum of its proper divisors (8823761177741).

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

6838068100900 is an equidigital number, since it uses as much as digits as its factorization.

6838068100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27578 (or 13789 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 6838068100900 by its sum of digits (49), we get a square (335065336944100 = 18304790²).

The spelling of 6838068100900 in words is "six trillion, eight hundred thirty-eight billion, sixty-eight million, one hundred thousand, nine hundred".