1450576318912 has 224 divisors, whose sum is σ = 3559756436480. Its totient is φ = 572502712320.

The previous prime is 1450576318879. The next prime is 1450576318913. The reversal of 1450576318912 is 2198136750541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1450576318912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450576318913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627682237 + ... + 627684547.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1450576318912 = 2901152637824, but 3⋅1450576318912 = 4351728956736 is not.

Almost surely, 2^{1450576318912} 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 1450576318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779878218240).

1450576318912 is an abundant number, since it is smaller than the sum of its proper divisors (2109180117568).

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

1450576318912 is a wasteful number, since it uses less digits than its factorization.

1450576318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 1450576318912 in words is "one trillion, four hundred fifty billion, five hundred seventy-six million, three hundred eighteen thousand, nine hundred twelve".