45153554344500 has 384 divisors, whose sum is σ = 153102265924608. Its totient is φ = 10128168960000.

The previous prime is 45153554344477. The next prime is 45153554344501. The reversal of 45153554344500 is 544345535154.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45153554344500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45153554344501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119648104 + ... + 120024896.

It is an arithmetic number, because the mean of its divisors is an integer number (398703817512).

Almost surely, 2^{45153554344500} 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 45153554344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76551132962304).

45153554344500 is an abundant number, since it is smaller than the sum of its proper divisors (107948711580108).

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

45153554344500 is a wasteful number, since it uses less digits than its factorization.

45153554344500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377036 (or 377024 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 48.

Adding to 45153554344500 its reverse (544345535154), we get a palindrome (45697899879654).

The spelling of 45153554344500 in words is "forty-five trillion, one hundred fifty-three billion, five hundred fifty-four million, three hundred forty-four thousand, five hundred".