45736320000 has 880 divisors, whose sum is σ = 180487625472. Its totient is φ = 10076160000.

The previous prime is 45736319989. The next prime is 45736320013. The reversal of 45736320000 is 2363754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 45736320000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 551039959 + ... + 551040041.

Almost surely, 2^45736320000 is an apocalyptic number.

45736320000 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 45736320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90243812736).

45736320000 is an abundant number, since it is smaller than the sum of its proper divisors (134751305472).

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

45736320000 is an equidigital number, since it uses as much as digits as its factorization.

45736320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

Adding to 45736320000 its reverse (2363754), we get a palindrome (45738683754).

The spelling of 45736320000 in words is "forty-five billion, seven hundred thirty-six million, three hundred twenty thousand".