1045213492224 has 176 divisors, whose sum is σ = 3068652787200. Its totient is φ = 313655255040.

The previous prime is 1045213492199. The next prime is 1045213492229. The reversal of 1045213492224 is 4222943125401.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045213492229) 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 15 ways as a sum of consecutive naturals, for example, 3330427 + ... + 3630725.

It is an arithmetic number, because the mean of its divisors is an integer number (17435527200).

Almost surely, 2^{1045213492224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045213492224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534326393600).

1045213492224 is an abundant number, since it is smaller than the sum of its proper divisors (2023439294976).

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

1045213492224 is a wasteful number, since it uses less digits than its factorization.

1045213492224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300436 (or 300418 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 1045213492224 in words is "one trillion, forty-five billion, two hundred thirteen million, four hundred ninety-two thousand, two hundred twenty-four".