45505311332000 has 96 divisors (see below), whose sum is σ = 120407053922064. Its totient is φ = 16801961088000.

The previous prime is 45505311331999. The next prime is 45505311332003. The reversal of 45505311332000 is 23311350554.

It can be written as a sum of positive squares in 8 ways, for example, as 5728727362576 + 39776583969424 = 2393476^2 + 6306868^2 .

It is a super-2 number, since 2×45505311332000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45505311332003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437499071 + ... + 437603070.

Almost surely, 2^{45505311332000} is an apocalyptic number.

45505311332000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45505311332000 is an abundant number, since it is smaller than the sum of its proper divisors (74901742590064).

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

45505311332000 is a wasteful number, since it uses less digits than its factorization.

45505311332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875102179 (or 875102161 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 45505311332000 its reverse (23311350554), we get a palindrome (45528622682554).

The spelling of 45505311332000 in words is "forty-five trillion, five hundred five billion, three hundred eleven million, three hundred thirty-two thousand".