45144051600 has 60 divisors (see below), whose sum is σ = 144611449136. Its totient is φ = 12038413440.

The previous prime is 45144051587. The next prime is 45144051607. The reversal of 45144051600 is 615044154.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (45144051607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18808822 + ... + 18811221.

Almost surely, 2^45144051600 is an apocalyptic number.

45144051600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45144051600 is an abundant number, since it is smaller than the sum of its proper divisors (99467397536).

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

45144051600 is a wasteful number, since it uses less digits than its factorization.

45144051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37620064 (or 37620053 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 45144051600 its reverse (615044154), we get a palindrome (45759095754).

The spelling of 45144051600 in words is "forty-five billion, one hundred forty-four million, fifty-one thousand, six hundred".