45548339200 has 576 divisors, whose sum is σ = 142763541120. Its totient is φ = 14108590080.

The previous prime is 45548339197. The next prime is 45548339203. The reversal of 45548339200 is 293384554.

It is an interprime number because it is at equal distance from previous prime (45548339197) and next prime (45548339203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45548339203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 969113577 + ... + 969113623.

It is an arithmetic number, because the mean of its divisors is an integer number (247853370).

Almost surely, 2^45548339200 is an apocalyptic number.

45548339200 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 45548339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71381770560).

45548339200 is an abundant number, since it is smaller than the sum of its proper divisors (97215201920).

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

45548339200 is an equidigital number, since it uses as much as digits as its factorization.

45548339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 45548339200 in words is "forty-five billion, five hundred forty-eight million, three hundred thirty-nine thousand, two hundred".