45264011100 has 288 divisors, whose sum is σ = 163636526592. Its totient is φ = 9384960000.

The previous prime is 45264011099. The next prime is 45264011141. The reversal of 45264011100 is 111046254.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12033220 + ... + 12036980.

It is an arithmetic number, because the mean of its divisors is an integer number (568182384).

Almost surely, 2^45264011100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45264011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81818263296).

45264011100 is an abundant number, since it is smaller than the sum of its proper divisors (118372515492).

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

45264011100 is a wasteful number, since it uses less digits than its factorization.

45264011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 45264011100 its reverse (111046254), we get a palindrome (45375057354).

The spelling of 45264011100 in words is "forty-five billion, two hundred sixty-four million, eleven thousand, one hundred".