45467459361 has 81 divisors (see below), whose sum is σ = 72342386571. Its totient is φ = 27511916544.

The previous prime is 45467459351. The next prime is 45467459369. The reversal of 45467459361 is 16395476454.

It is a happy number.

The square root of 45467459361 is 213231.

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

45467459361 is a `hidden beast` number, since 4 + 5 + 46 + 7 + 4 + 593 + 6 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18293915025 + 27173544336 = 135255^2 + 164844^2 .

It is not a de Polignac number, because 45467459361 - 2⁵ = 45467459329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45467459298 and 45467459307.

It is not an unprimeable number, because it can be changed into a prime (45467459369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 402366841 + ... + 402366953.

Almost surely, 2^45467459361 is an apocalyptic number.

45467459361 is the 213231-st square number.

45467459361 is the 106616-th centered octagonal number.

It is an amenable number.

45467459361 is a deficient number, since it is larger than the sum of its proper divisors (26874927210).

45467459361 is a wasteful number, since it uses less digits than its factorization.

45467459361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 45467459361 in words is "forty-five billion, four hundred sixty-seven million, four hundred fifty-nine thousand, three hundred sixty-one".