45144241350 has 192 divisors, whose sum is σ = 125758617600. Its totient is φ = 10641715200.

The previous prime is 45144241327. The next prime is 45144241361. The reversal of 45144241350 is 5314244154.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5859801 + ... + 5867499.

It is an arithmetic number, because the mean of its divisors is an integer number (654992800).

Almost surely, 2^45144241350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45144241350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62879308800).

45144241350 is an abundant number, since it is smaller than the sum of its proper divisors (80614376250).

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

45144241350 is a wasteful number, since it uses less digits than its factorization.

45144241350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 45144241350 in words is "forty-five billion, one hundred forty-four million, two hundred forty-one thousand, three hundred fifty".