45524334031072 has 96 divisors (see below), whose sum is σ = 97257320939520. Its totient is φ = 20851325806080.

The previous prime is 45524334031067. The next prime is 45524334031073. The reversal of 45524334031072 is 27013043342554.

It is a super-2 number, since 2×45524334031072² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45524334031073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32608353 + ... + 33975775.

It is an arithmetic number, because the mean of its divisors is an integer number (1013097093120).

Almost surely, 2^{45524334031072} 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 45524334031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48628660469760).

45524334031072 is an abundant number, since it is smaller than the sum of its proper divisors (51732986908448).

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

45524334031072 is a wasteful number, since it uses less digits than its factorization.

45524334031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368056 (or 1368048 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 43.

The spelling of 45524334031072 in words is "forty-five trillion, five hundred twenty-four billion, three hundred thirty-four million, thirty-one thousand, seventy-two".