450161044674000 has 640 divisors, whose sum is σ = 1606517191319040. Its totient is φ = 107535087616000.

The previous prime is 450161044673993. The next prime is 450161044674043. The reversal of 450161044674000 is 476440161054.

It is a super-2 number, since 2×450161044674000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1720951222 + ... + 1721212778.

It is an arithmetic number, because the mean of its divisors is an integer number (2510183111436).

Almost surely, 2^{450161044674000} is an apocalyptic number.

450161044674000 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 450161044674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803258595659520).

450161044674000 is an abundant number, since it is smaller than the sum of its proper divisors (1156356146645040).

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

450161044674000 is a wasteful number, since it uses less digits than its factorization.

450161044674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261976 (or 261960 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 450161044674000 in words is "four hundred fifty trillion, one hundred sixty-one billion, forty-four million, six hundred seventy-four thousand".