45348206400 has 1260 divisors, whose sum is σ = 200175520908. Its totient is φ = 10032906240.

The previous prime is 45348206383. The next prime is 45348206441. The reversal of 45348206400 is 460284354.

45348206400 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 8 + 2 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 112021056 + 45236185344 = 10584^2 + 212688^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 234964704 + ... + 234964896.

Almost surely, 2^45348206400 is an apocalyptic number.

45348206400 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 45348206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100087760454).

45348206400 is an abundant number, since it is smaller than the sum of its proper divisors (154827314508).

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

45348206400 is a wasteful number, since it uses less digits than its factorization.

45348206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 45348206400 in words is "forty-five billion, three hundred forty-eight million, two hundred six thousand, four hundred".