45384211953 has 20 divisors (see below), whose sum is σ = 68418164980. Its totient is φ = 29978556192.

The previous prime is 45384211907. The next prime is 45384211979. The reversal of 45384211953 is 35911248354.

45384211953 is a `hidden beast` number, since 4 + 5 + 38 + 421 + 195 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22894110864 + 22490101089 = 151308^2 + 149967^2 .

It is not a de Polignac number, because 45384211953 - 2¹⁶ = 45384146417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45384211899 and 45384211908.

It is not an unprimeable number, because it can be changed into a prime (45384211903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2561350 + ... + 2579007.

It is an arithmetic number, because the mean of its divisors is an integer number (3420908249).

Almost surely, 2^45384211953 is an apocalyptic number.

It is an amenable number.

45384211953 is a deficient number, since it is larger than the sum of its proper divisors (23033953027).

45384211953 is a wasteful number, since it uses less digits than its factorization.

45384211953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140478 (or 5140469 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 45384211953 in words is "forty-five billion, three hundred eighty-four million, two hundred eleven thousand, nine hundred fifty-three".