45438219225 has 72 divisors (see below), whose sum is σ = 98482625280. Its totient is φ = 19549877760.

The previous prime is 45438219193. The next prime is 45438219241. The reversal of 45438219225 is 52291283454.

45438219225 is a `hidden beast` number, since 4 + 5 + 438 + 2 + 192 + 25 = 666.

It is not a de Polignac number, because 45438219225 - 2⁵ = 45438219193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 821745 + ... + 875294.

It is an arithmetic number, because the mean of its divisors is an integer number (1367814240).

Almost surely, 2^45438219225 is an apocalyptic number.

45438219225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45438219225 is an abundant number, since it is smaller than the sum of its proper divisors (53044406055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45438219225 is a wasteful number, since it uses less digits than its factorization.

45438219225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697079 (or 1697071 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 45438219225 in words is "forty-five billion, four hundred thirty-eight million, two hundred nineteen thousand, two hundred twenty-five".