45252414000 has 480 divisors, whose sum is σ = 167299292160. Its totient is φ = 11368512000.

The previous prime is 45252413963. The next prime is 45252414041. The reversal of 45252414000 is 41425254.

45252414000 is a `hidden beast` number, since 4 + 5 + 252 + 4 + 1 + 400 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 104993785 + ... + 104994215.

It is an arithmetic number, because the mean of its divisors is an integer number (348540192).

Almost surely, 2^45252414000 is an apocalyptic number.

45252414000 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 45252414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83649646080).

45252414000 is an abundant number, since it is smaller than the sum of its proper divisors (122046878160).

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

45252414000 is a wasteful number, since it uses less digits than its factorization.

45252414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 45252414000 its reverse (41425254), we get a palindrome (45293839254).

The spelling of 45252414000 in words is "forty-five billion, two hundred fifty-two million, four hundred fourteen thousand".