45430101200 has 120 divisors (see below), whose sum is σ = 119150469120. Its totient is φ = 16508620800.

The previous prime is 45430101187. The next prime is 45430101263. The reversal of 45430101200 is 210103454.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8872241 + ... + 8877359.

It is an arithmetic number, because the mean of its divisors is an integer number (992920576).

Almost surely, 2^45430101200 is an apocalyptic number.

45430101200 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 45430101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59575234560).

45430101200 is an abundant number, since it is smaller than the sum of its proper divisors (73720367920).

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

45430101200 is a wasteful number, since it uses less digits than its factorization.

45430101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 45430101200 its reverse (210103454), we get a palindrome (45640204654).

The spelling of 45430101200 in words is "forty-five billion, four hundred thirty million, one hundred one thousand, two hundred".