45775030401 has 9 divisors (see below), whose sum is σ = 66120415491. Its totient is φ = 30516259032.

The previous prime is 45775030369. The next prime is 45775030409. The reversal of 45775030401 is 10403057754.

It is a happy number.

The square root of 45775030401 is 213951.

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

45775030401 is a `hidden beast` number, since 4 + 577 + 50 + 30 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11281626225 + 34493404176 = 106215^2 + 185724^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 45775030401 - 2⁵ = 45775030369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45775030409) 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, 606195 + ... + 677511.

Almost surely, 2^45775030401 is an apocalyptic number.

45775030401 is the 213951-st square number.

45775030401 is the 106976-th centered octagonal number.

It is an amenable number.

45775030401 is a deficient number, since it is larger than the sum of its proper divisors (20345385090).

45775030401 is an frugal number, since it uses more digits than its factorization.

45775030401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142640 (or 71320 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Multiplying 45775030401 by its sum of digits (36), we get a square (1647901094436 = 1283706²).

The spelling of 45775030401 in words is "forty-five billion, seven hundred seventy-five million, thirty thousand, four hundred one".