1448167894272 has 576 divisors, whose sum is σ = 4751289446400. Its totient is φ = 431423815680.

The previous prime is 1448167894259. The next prime is 1448167894301. The reversal of 1448167894272 is 2724987618441.

1448167894272 is a `hidden beast` number, since 1 + 4 + 48 + 167 + 8 + 9 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2120304043 + ... + 2120304725.

It is an arithmetic number, because the mean of its divisors is an integer number (8248766400).

Almost surely, 2^{1448167894272} is an apocalyptic number.

1448167894272 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 1448167894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375644723200).

1448167894272 is an abundant number, since it is smaller than the sum of its proper divisors (3303121552128).

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

1448167894272 is a wasteful number, since it uses less digits than its factorization.

1448167894272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1131 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 1448167894272 in words is "one trillion, four hundred forty-eight billion, one hundred sixty-seven million, eight hundred ninety-four thousand, two hundred seventy-two".