45434014200 has 144 divisors (see below), whose sum is σ = 153374320320. Its totient is φ = 12052869120.

The previous prime is 45434014187. The next prime is 45434014243. The reversal of 45434014200 is 241043454.

It is a happy number.

45434014200 is a `hidden beast` number, since 4 + 54 + 3 + 401 + 4 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282009 + ... + 412791.

Almost surely, 2^45434014200 is an apocalyptic number.

45434014200 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 45434014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76687160160).

45434014200 is an abundant number, since it is smaller than the sum of its proper divisors (107940306120).

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

45434014200 is a wasteful number, since it uses less digits than its factorization.

45434014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130998 (or 130986 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 45434014200 its reverse (241043454), we get a palindrome (45675057654).

The spelling of 45434014200 in words is "forty-five billion, four hundred thirty-four million, fourteen thousand, two hundred".