45114313200 has 120 divisors (see below), whose sum is σ = 157654064256. Its totient is φ = 10936800000.

The previous prime is 45114313199. The next prime is 45114313259. The reversal of 45114313200 is 231341154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1695676 + ... + 1722075.

Almost surely, 2^45114313200 is an apocalyptic number.

45114313200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45114313200 is an abundant number, since it is smaller than the sum of its proper divisors (112539751056).

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

45114313200 is a wasteful number, since it uses less digits than its factorization.

45114313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417783 (or 3417772 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 45114313200 its reverse (231341154), we get a palindrome (45345654354).

The spelling of 45114313200 in words is "forty-five billion, one hundred fourteen million, three hundred thirteen thousand, two hundred".