246890728161 has 189 divisors, whose sum is σ = 475295138913. Its totient is φ = 127718292240.

The previous prime is 246890728151. The next prime is 246890728241. The reversal of 246890728161 is 161827098642.

It is a happy number.

The square root of 246890728161 is 496881.

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

It is a tau number, because it is divible by the number of its divisors (189).

It is a de Polignac number, because none of the positive numbers 2^k-246890728161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 246890728098 and 246890728107.

It is not an unprimeable number, because it can be changed into a prime (246890728141) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1033015480 + ... + 1033015718.

Almost surely, 2^246890728161 is an apocalyptic number.

246890728161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

246890728161 is the 496881-st square number.

246890728161 is the 248441-st centered octagonal number.

It is an amenable number.

246890728161 is a deficient number, since it is larger than the sum of its proper divisors (228404410752).

246890728161 is an frugal number, since it uses more digits than its factorization.

246890728161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 246890728161 in words is "two hundred forty-six billion, eight hundred ninety million, seven hundred twenty-eight thousand, one hundred sixty-one".