1445271496704 has 768 divisors, whose sum is σ = 5116472524800. Its totient is φ = 399345500160.

The previous prime is 1445271496699. The next prime is 1445271496729. The reversal of 1445271496704 is 4076941725441.

It is a happy number.

1445271496704 is a `hidden beast` number, since 1 + 4 + 4 + 527 + 1 + 49 + 6 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 971937049 + ... + 971938535.

It is an arithmetic number, because the mean of its divisors is an integer number (6662073600).

Almost surely, 2^{1445271496704} is an apocalyptic number.

1445271496704 is a gapful number since it is divisible by the number (14) 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 1445271496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558236262400).

1445271496704 is an abundant number, since it is smaller than the sum of its proper divisors (3671201028096).

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

1445271496704 is an frugal number, since it uses more digits than its factorization.

1445271496704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1445271496704 in words is "one trillion, four hundred forty-five billion, two hundred seventy-one million, four hundred ninety-six thousand, seven hundred four".