45505524311000 has 128 divisors (see below), whose sum is σ = 119659744713600. Its totient is φ = 16071516172800.

The previous prime is 45505524310979. The next prime is 45505524311003. The reversal of 45505524311000 is 11342550554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45505524311003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75797195 + ... + 76395194.

It is an arithmetic number, because the mean of its divisors is an integer number (934841755575).

Almost surely, 2^{45505524311000} is an apocalyptic number.

45505524311000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45505524311000 is an abundant number, since it is smaller than the sum of its proper divisors (74154220402600).

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

45505524311000 is a wasteful number, since it uses less digits than its factorization.

45505524311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152192446 (or 152192432 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 45505524311000 its reverse (11342550554), we get a palindrome (45516866861554).

The spelling of 45505524311000 in words is "forty-five trillion, five hundred five billion, five hundred twenty-four million, three hundred eleven thousand".