45122141384352 has 72 divisors (see below), whose sum is σ = 128318587750080. Its totient is φ = 15040420967040.

The previous prime is 45122141384321. The next prime is 45122141384363. The reversal of 45122141384352 is 25348314122154.

45122141384352 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 214 + 1 + 3 + 84 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 45122141384298 and 45122141384307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13551577 + ... + 16549607.

It is an arithmetic number, because the mean of its divisors is an integer number (1782202607640).

Almost surely, 2^{45122141384352} is an apocalyptic number.

It is an amenable number.

45122141384352 is an abundant number, since it is smaller than the sum of its proper divisors (83196446365728).

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

45122141384352 is a wasteful number, since it uses less digits than its factorization.

45122141384352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050306 (or 3050295 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 45122141384352 in words is "forty-five trillion, one hundred twenty-two billion, one hundred forty-one million, three hundred eighty-four thousand, three hundred fifty-two".