450181953936 has 1215 divisors, whose sum is σ = 1665218716707. Its totient is φ = 113364725760.

The previous prime is 450181953917. The next prime is 450181953979. The reversal of 450181953936 is 639359181054.

The square root of 450181953936 is 670956.

It is a perfect power (a square), and thus also a powerful number.

450181953936 is a `hidden beast` number, since 4 + 50 + 18 + 19 + 539 + 36 = 666.

450181953936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4064827536 + 446117126400 = 63756^2 + 667920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 19573128421 + ... + 19573128443.

Almost surely, 2^450181953936 is an apocalyptic number.

450181953936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

450181953936 is the 670956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450181953936

450181953936 is an abundant number, since it is smaller than the sum of its proper divisors (1215036762771).

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

450181953936 is a wasteful number, since it uses less digits than its factorization.

450181953936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 450181953936 in words is "four hundred fifty billion, one hundred eighty-one million, nine hundred fifty-three thousand, nine hundred thirty-six".