45414208000 has 640 divisors, whose sum is σ = 140641712640. Its totient is φ = 14273740800.

The previous prime is 45414207869. The next prime is 45414208033. The reversal of 45414208000 is 80241454.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 45414208000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510271956 + ... + 510272044.

It is an arithmetic number, because the mean of its divisors is an integer number (219752676).

Almost surely, 2^45414208000 is an apocalyptic number.

45414208000 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 45414208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70320856320).

45414208000 is an abundant number, since it is smaller than the sum of its proper divisors (95227504640).

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

45414208000 is an equidigital number, since it uses as much as digits as its factorization.

45414208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 45414208000 its reverse (80241454), we get a palindrome (45494449454).

The spelling of 45414208000 in words is "forty-five billion, four hundred fourteen million, two hundred eight thousand".