1450075856768 has 192 divisors, whose sum is σ = 3712383187200. Its totient is φ = 557811072000.

The previous prime is 1450075856767. The next prime is 1450075856783. The reversal of 1450075856768 is 8676585700541.

It is a self number, because there is not a number n which added to its sum of digits gives 1450075856768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450075856767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5317343 + ... + 5583393.

It is an arithmetic number, because the mean of its divisors is an integer number (19335329100).

Almost surely, 2^{1450075856768} 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 1450075856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856191593600).

1450075856768 is an abundant number, since it is smaller than the sum of its proper divisors (2262307330432).

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

1450075856768 is a wasteful number, since it uses less digits than its factorization.

1450075856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266169 (or 266150 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 62.

The spelling of 1450075856768 in words is "one trillion, four hundred fifty billion, seventy-five million, eight hundred fifty-six thousand, seven hundred sixty-eight".