1446512141568 has 288 divisors, whose sum is σ = 4450026542976. Its totient is φ = 413157556224.

The previous prime is 1446512141537. The next prime is 1446512141593. The reversal of 1446512141568 is 8651412156441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 12331771 + ... + 12448517.

It is an arithmetic number, because the mean of its divisors is an integer number (15451481052).

Almost surely, 2^{1446512141568} 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 1446512141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225013271488).

1446512141568 is an abundant number, since it is smaller than the sum of its proper divisors (3003514401408).

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

1446512141568 is a wasteful number, since it uses less digits than its factorization.

1446512141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116869 (or 116855 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The spelling of 1446512141568 in words is "one trillion, four hundred forty-six billion, five hundred twelve million, one hundred forty-one thousand, five hundred sixty-eight".