450690652329708 has 1152 divisors, whose sum is σ = 1445680476979200. Its totient is φ = 108110835302400.

The previous prime is 450690652329703. The next prime is 450690652329719. The reversal of 450690652329708 is 807923256096054.

It is not an unprimeable number, because it can be changed into a prime (450690652329703) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68608712248 + ... + 68608718816.

It is an arithmetic number, because the mean of its divisors is an integer number (1254930969600).

Almost surely, 2^{450690652329708} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450690652329708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722840238489600).

450690652329708 is an abundant number, since it is smaller than the sum of its proper divisors (994989824649492).

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

450690652329708 is a wasteful number, since it uses less digits than its factorization.

450690652329708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 450690652329708 in words is "four hundred fifty trillion, six hundred ninety billion, six hundred fifty-two million, three hundred twenty-nine thousand, seven hundred eight".