450123321819136 has 960 divisors, whose sum is σ = 1123853684760576. Its totient is φ = 176222424268800.

The previous prime is 450123321819109. The next prime is 450123321819161. The reversal of 450123321819136 is 631918123321054.

It is a super-2 number, since 2×450123321819136² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450123321819136.

It is a congruent number.

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, 591489252996 + ... + 591489253756.

Almost surely, 2^{450123321819136} 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 450123321819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561926842380288).

450123321819136 is an abundant number, since it is smaller than the sum of its proper divisors (673730362941440).

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

450123321819136 is an equidigital number, since it uses as much as digits as its factorization.

450123321819136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 450123321819136 in words is "four hundred fifty trillion, one hundred twenty-three billion, three hundred twenty-one million, eight hundred nineteen thousand, one hundred thirty-six".