45372141600 has 288 divisors, whose sum is σ = 153788906880. Its totient is φ = 11609088000.

The previous prime is 45372141599. The next prime is 45372141623. The reversal of 45372141600 is 614127354.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5998621 + ... + 6006179.

It is an arithmetic number, because the mean of its divisors is an integer number (533989260).

Almost surely, 2^45372141600 is an apocalyptic number.

45372141600 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 45372141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76894453440).

45372141600 is an abundant number, since it is smaller than the sum of its proper divisors (108416765280).

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

45372141600 is a wasteful number, since it uses less digits than its factorization.

45372141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7671 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 45372141600 its reverse (614127354), we get a palindrome (45986268954).

The spelling of 45372141600 in words is "forty-five billion, three hundred seventy-two million, one hundred forty-one thousand, six hundred".