45141376224 has 288 divisors, whose sum is σ = 146559684096. Its totient is φ = 12088258560.

The previous prime is 45141376199. The next prime is 45141376229. The reversal of 45141376224 is 42267314154.

It is a Cunningham number, because it is equal to 212465²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45141376229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21670287 + ... + 21672369.

It is an arithmetic number, because the mean of its divisors is an integer number (508887792).

Almost surely, 2^45141376224 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 45141376224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73279842048).

45141376224 is an abundant number, since it is smaller than the sum of its proper divisors (101418307872).

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

45141376224 is a wasteful number, since it uses less digits than its factorization.

45141376224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2383 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 45141376224 in words is "forty-five billion, one hundred forty-one million, three hundred seventy-six thousand, two hundred twenty-four".