45314445000 has 320 divisors, whose sum is σ = 156774816000. Its totient is φ = 10818720000.

The previous prime is 45314444927. The next prime is 45314445023. The reversal of 45314445000 is 54441354.

45314445000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11052951 + ... + 11057049.

It is an arithmetic number, because the mean of its divisors is an integer number (489921300).

Almost surely, 2^45314445000 is an apocalyptic number.

45314445000 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 45314445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78387408000).

45314445000 is an abundant number, since it is smaller than the sum of its proper divisors (111460371000).

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

45314445000 is a wasteful number, since it uses less digits than its factorization.

45314445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 45314445000 its reverse (54441354), we get a palindrome (45368886354).

The spelling of 45314445000 in words is "forty-five billion, three hundred fourteen million, four hundred forty-five thousand".