1445272270848 has 768 divisors, whose sum is σ = 4990674124800. Its totient is φ = 404784414720.

The previous prime is 1445272270847. The next prime is 1445272270859. The reversal of 1445272270848 is 8480722725441.

1445272270848 is a `hidden beast` number, since 1 + 4 + 4 + 527 + 2 + 2 + 70 + 8 + 48 = 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 junction number, because it is equal to n+sod(n) for n = 1445272270794 and 1445272270803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445272270847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7566870433 + ... + 7566870623.

It is an arithmetic number, because the mean of its divisors is an integer number (6498273600).

Almost surely, 2^{1445272270848} is an apocalyptic number.

1445272270848 is a gapful number since it is divisible by the number (18) 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 1445272270848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495337062400).

1445272270848 is an abundant number, since it is smaller than the sum of its proper divisors (3545401853952).

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

1445272270848 is a wasteful number, since it uses less digits than its factorization.

1445272270848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 1445272270848 in words is "one trillion, four hundred forty-five billion, two hundred seventy-two million, two hundred seventy thousand, eight hundred forty-eight".