1445347229760 has 2240 divisors, whose sum is σ = 6484529779200. Its totient is φ = 304331489280.

The previous prime is 1445347229759. The next prime is 1445347229773. The reversal of 1445347229760 is 679227435441.

1445347229760 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 347 + 2 + 297 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×1445347229760² (a number of 25 digits) contains 22 as substring.

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 = 1445347229697 and 1445347229706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11033184895 + ... + 11033185025.

Almost surely, 2^{1445347229760} is an apocalyptic number.

1445347229760 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 1445347229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242264889600).

1445347229760 is an abundant number, since it is smaller than the sum of its proper divisors (5039182549440).

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

1445347229760 is a wasteful number, since it uses less digits than its factorization.

1445347229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 1445347229760 in words is "one trillion, four hundred forty-five billion, three hundred forty-seven million, two hundred twenty-nine thousand, seven hundred sixty".