45036441450 has 1296 divisors, whose sum is σ = 179264213856. Its totient is φ = 8262777600.

The previous prime is 45036441449. The next prime is 45036441469. The reversal of 45036441450 is 5414463054.

45036441450 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 644 + 1 + 4 + 5 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 1958106139 + ... + 1958106161.

Almost surely, 2^45036441450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45036441450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89632106928).

45036441450 is an abundant number, since it is smaller than the sum of its proper divisors (134227772406).

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

45036441450 is a wasteful number, since it uses less digits than its factorization.

45036441450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45036441450 in words is "forty-five billion, thirty-six million, four hundred forty-one thousand, four hundred fifty".