45135123710949 has 12 divisors (see below), whose sum is σ = 65195368414956. Its totient is φ = 30089994910272.

The previous prime is 45135123710939. The next prime is 45135123710951. The reversal of 45135123710949 is 94901732153154.

45135123710949 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 512 + 37 + 1 + 0 + 94 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35954114630625 + 9181009080324 = 5996175^2 + 3030018^2 .

It is not a de Polignac number, because 45135123710949 - 2⁵ = 45135123710917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45135123710895 and 45135123710904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45135123710939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3951712 + ... + 10290105.

It is an arithmetic number, because the mean of its divisors is an integer number (5432947367913).

Almost surely, 2^{45135123710949} is an apocalyptic number.

It is an amenable number.

45135123710949 is a deficient number, since it is larger than the sum of its proper divisors (20060244704007).

45135123710949 is a wasteful number, since it uses less digits than its factorization.

45135123710949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14593956 (or 14593953 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 45135123710949 in words is "forty-five trillion, one hundred thirty-five billion, one hundred twenty-three million, seven hundred ten thousand, nine hundred forty-nine".