45141484520 has 384 divisors, whose sum is σ = 122376683520. Its totient is φ = 14928883200.

The previous prime is 45141484471. The next prime is 45141484523. The reversal of 45141484520 is 2548414154.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45141484523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355444697 + ... + 355444823.

It is an arithmetic number, because the mean of its divisors is an integer number (318689280).

Almost surely, 2^45141484520 is an apocalyptic number.

45141484520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45141484520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61188341760).

45141484520 is an abundant number, since it is smaller than the sum of its proper divisors (77235199000).

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

45141484520 is a wasteful number, since it uses less digits than its factorization.

45141484520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

Adding to 45141484520 its reverse (2548414154), we get a palindrome (47689898674).

The spelling of 45141484520 in words is "forty-five billion, one hundred forty-one million, four hundred eighty-four thousand, five hundred twenty".