45356220162225 has 288 divisors, whose sum is σ = 95237234426880. Its totient is φ = 20206511424000.

The previous prime is 45356220162217. The next prime is 45356220162247. The reversal of 45356220162225 is 52226102265354.

It is a happy number.

45356220162225 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 622 + 0 + 16 + 2 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 45356220162225 - 2³ = 45356220162217 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5567225602 + ... + 5567233748.

It is an arithmetic number, because the mean of its divisors is an integer number (330684841760).

Almost surely, 2^{45356220162225} is an apocalyptic number.

45356220162225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45356220162225 is an abundant number, since it is smaller than the sum of its proper divisors (49881014264655).

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

45356220162225 is a wasteful number, since it uses less digits than its factorization.

45356220162225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 45356220162225 in words is "forty-five trillion, three hundred fifty-six billion, two hundred twenty million, one hundred sixty-two thousand, two hundred twenty-five".