1468146612241 has 9 divisors (see below), whose sum is σ = 1471886836731. Its totient is φ = 1464415877232.

The previous prime is 1468146612211. The next prime is 1468146612277. The reversal of 1468146612241 is 1422166418641.

The square root of 1468146612241 is 1211671.

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., 1432461891025 + 35684721216 = 1196855^2 + 188904^2 .

It is not a de Polignac number, because 1468146612241 - 2⁵ = 1468146612209 is a prime.

It is a super-2 number, since 2×1468146612241² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1468146612191 and 1468146612200.

It is not an unprimeable number, because it can be changed into a prime (1468146612211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 561002365 + ... + 561004981.

It is an arithmetic number, because the mean of its divisors is an integer number (163542981859).

Almost surely, 2^{1468146612241} is an apocalyptic number.

1468146612241 is the 1211671-st square number.

1468146612241 is the 605836-th centered octagonal number.

It is an amenable number.

1468146612241 is a deficient number, since it is larger than the sum of its proper divisors (3740224490).

1468146612241 is an frugal number, since it uses more digits than its factorization.

1468146612241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 3080 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The spelling of 1468146612241 in words is "one trillion, four hundred sixty-eight billion, one hundred forty-six million, six hundred twelve thousand, two hundred forty-one".