45405200000000 has 198 divisors, whose sum is σ = 113458515151398. Its totient is φ = 18161920000000.

The previous prime is 45405199999981. The next prime is 45405200000023. The reversal of 45405200000000 is 250454.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 22122799366144 + 23282400633856 = 4703488^2 + 4825184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399943244 + ... + 400056756.

Almost surely, 2^{45405200000000} is an apocalyptic number.

45405200000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45405200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56729257575699).

45405200000000 is an abundant number, since it is smaller than the sum of its proper divisors (68053315151398).

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

45405200000000 is an frugal number, since it uses more digits than its factorization.

45405200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113573 (or 113520 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 45405200000000 its reverse (250454), we get a palindrome (45405200250454).

The spelling of 45405200000000 in words is "forty-five trillion, four hundred five billion, two hundred million", and thus it is an aban number.