45202008000 has 448 divisors, whose sum is σ = 155290576896. Its totient is φ = 11576320000.

The previous prime is 45202007987. The next prime is 45202008029. The reversal of 45202008000 is 80020254.

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 63 ways as a sum of consecutive naturals, for example, 69863677 + ... + 69864323.

It is an arithmetic number, because the mean of its divisors is an integer number (346630752).

Almost surely, 2^45202008000 is an apocalyptic number.

45202008000 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 45202008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77645288448).

45202008000 is an abundant number, since it is smaller than the sum of its proper divisors (110088568896).

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

45202008000 is a wasteful number, since it uses less digits than its factorization.

45202008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 45202008000 its reverse (80020254), we get a palindrome (45282028254).

The spelling of 45202008000 in words is "forty-five billion, two hundred two million, eight thousand".