45144241461 has 64 divisors (see below), whose sum is σ = 76495841280. Its totient is φ = 26045712000.

The previous prime is 45144241427. The next prime is 45144241469. The reversal of 45144241461 is 16414244154.

45144241461 is a `hidden beast` number, since 4 + 514 + 42 + 41 + 4 + 61 = 666.

45144241461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45144241461 - 2⁹ = 45144240949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144241469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1425681 + ... + 1457001.

It is an arithmetic number, because the mean of its divisors is an integer number (1195247520).

Almost surely, 2^45144241461 is an apocalyptic number.

It is an amenable number.

45144241461 is a deficient number, since it is larger than the sum of its proper divisors (31351599819).

45144241461 is a wasteful number, since it uses less digits than its factorization.

45144241461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31575 (or 31569 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 45144241461 in words is "forty-five billion, one hundred forty-four million, two hundred forty-one thousand, four hundred sixty-one".