4068414054961 has 9 divisors (see below), whose sum is σ = 4253040883371. Its totient is φ = 3891482112672.

The previous prime is 4068414054917. The next prime is 4068414054973. The reversal of 4068414054961 is 1694504148604.

The square root of 4068414054961 is 2017031.

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

4068414054961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4053397023025 + 15017031936 = 2013305^2 + 122544^2 .

It is not a de Polignac number, because 4068414054961 - 2²⁵ = 4068380500529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4068414054899 and 4068414054908.

It is not an unprimeable number, because it can be changed into a prime (4063414054961) 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, 46347865 + ... + 46435561.

Almost surely, 2^{4068414054961} is an apocalyptic number.

4068414054961 is the 2017031-st square number.

4068414054961 is the 1008516-th centered octagonal number.

It is an amenable number.

4068414054961 is a deficient number, since it is larger than the sum of its proper divisors (184626828410).

4068414054961 is an frugal number, since it uses more digits than its factorization.

4068414054961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175440 (or 87720 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 4068414054961 in words is "four trillion, sixty-eight billion, four hundred fourteen million, fifty-four thousand, nine hundred sixty-one".