1446216641232 has 160 divisors (see below), whose sum is σ = 4330310699520. Its totient is φ = 411301301760.

The previous prime is 1446216641231. The next prime is 1446216641293. The reversal of 1446216641232 is 2321466126441.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1446216641231) 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 31 ways as a sum of consecutive naturals, for example, 399778 + ... + 1747070.

It is an arithmetic number, because the mean of its divisors is an integer number (27064441872).

Almost surely, 2^{1446216641232} is an apocalyptic number.

1446216641232 is a gapful number since it is divisible by the number (12) 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 1446216641232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165155349760).

1446216641232 is an abundant number, since it is smaller than the sum of its proper divisors (2884094058288).

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

1446216641232 is a wasteful number, since it uses less digits than its factorization.

1446216641232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347441 (or 1347435 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 1446216641232 in words is "one trillion, four hundred forty-six billion, two hundred sixteen million, six hundred forty-one thousand, two hundred thirty-two".