1447552632960 has 2304 divisors, whose sum is σ = 6499764311040. Its totient is φ = 301321617408.

The previous prime is 1447552632959. The next prime is 1447552632991. The reversal of 1447552632960 is 692362557441.

It is a happy number.

1447552632960 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 552 + 6 + 3 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1447552632897 and 1447552632906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13528529227 + ... + 13528529333.

It is an arithmetic number, because the mean of its divisors is an integer number (2821078260).

Almost surely, 2^{1447552632960} is an apocalyptic number.

1447552632960 is a gapful number since it is divisible by the number (10) 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 1447552632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249882155520).

1447552632960 is an abundant number, since it is smaller than the sum of its proper divisors (5052211678080).

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

1447552632960 is a wasteful number, since it uses less digits than its factorization.

1447552632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 1447552632960 in words is "one trillion, four hundred forty-seven billion, five hundred fifty-two million, six hundred thirty-two thousand, nine hundred sixty".