246007072081 has 27 divisors (see below), whose sum is σ = 257026367793. Its totient is φ = 235456847520.

The previous prime is 246007072033. The next prime is 246007072127. The reversal of 246007072081 is 180270700642.

The square root of 246007072081 is 495991.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3761982225 + 242245089856 = 61335^2 + 492184^2 .

It is not a de Polignac number, because 246007072081 - 2²³ = 245998683473 is a prime.

It is a super-2 number, since 2×246007072081² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 246007072081.

It is not an unprimeable number, because it can be changed into a prime (246007072001) 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, 1422006111 + ... + 1422006283.

Almost surely, 2^246007072081 is an apocalyptic number.

246007072081 is the 495991-st square number.

246007072081 is the 247996-th centered octagonal number.

It is an amenable number.

246007072081 is a deficient number, since it is larger than the sum of its proper divisors (11019295712).

246007072081 is an frugal number, since it uses more digits than its factorization.

246007072081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 246007072081 in words is "two hundred forty-six billion, seven million, seventy-two thousand, eighty-one".