6928998025401 has 27 divisors (see below), whose sum is σ = 10030421233677. Its totient is φ = 4609260840960.

The previous prime is 6928998025387. The next prime is 6928998025403. The reversal of 6928998025401 is 1045208998296.

The square root of 6928998025401 is 2632299.

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

6928998025401 is a `hidden beast` number, since 6 + 9 + 2 + 8 + 9 + 9 + 80 + 2 + 540 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1174871727225 + 5754126298176 = 1083915^2 + 2398776^2 .

It is not a de Polignac number, because 6928998025401 - 2⁷ = 6928998025273 is a prime.

It is a super-2 number, since 2×6928998025401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6928998025403) 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, 6009538041 + ... + 6009539193.

Almost surely, 2^{6928998025401} is an apocalyptic number.

6928998025401 is the 2632299-th square number.

6928998025401 is the 1316150-th centered octagonal number.

It is an amenable number.

6928998025401 is a deficient number, since it is larger than the sum of its proper divisors (3101423208276).

6928998025401 is an frugal number, since it uses more digits than its factorization.

6928998025401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 6928998025401 in words is "six trillion, nine hundred twenty-eight billion, nine hundred ninety-eight million, twenty-five thousand, four hundred one".