1448167617225 has 192 divisors, whose sum is σ = 3388668825600. Its totient is φ = 590283002880.

The previous prime is 1448167617067. The next prime is 1448167617233. The reversal of 1448167617225 is 5227167618441.

It is a happy number.

1448167617225 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 16 + 7 + 617 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 1448167617225 - 2¹⁶ = 1448167551689 is a prime.

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 191 ways as a sum of consecutive naturals, for example, 1051732 + ... + 2000618.

It is an arithmetic number, because the mean of its divisors is an integer number (17649316800).

Almost surely, 2^{1448167617225} is an apocalyptic number.

1448167617225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1448167617225 is an abundant number, since it is smaller than the sum of its proper divisors (1940501208375).

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

1448167617225 is a wasteful number, since it uses less digits than its factorization.

1448167617225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948949 (or 948938 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 1448167617225 in words is "one trillion, four hundred forty-eight billion, one hundred sixty-seven million, six hundred seventeen thousand, two hundred twenty-five".