1445964394680 has 768 divisors, whose sum is σ = 5494874112000. Its totient is φ = 339313784832.

The previous prime is 1445964394607. The next prime is 1445964394687. The reversal of 1445964394680 is 864934695441.

It is a happy number.

1445964394680 is a `hidden beast` number, since 1 + 4 + 4 + 596 + 4 + 39 + 4 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×1445964394680³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445964394687) by changing a digit.

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, 1130542281 + ... + 1130543559.

It is an arithmetic number, because the mean of its divisors is an integer number (7154784000).

Almost surely, 2^{1445964394680} is an apocalyptic number.

1445964394680 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 1445964394680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747437056000).

1445964394680 is an abundant number, since it is smaller than the sum of its proper divisors (4048909717320).

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

1445964394680 is a wasteful number, since it uses less digits than its factorization.

1445964394680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 1445964394680 in words is "one trillion, four hundred forty-five billion, nine hundred sixty-four million, three hundred ninety-four thousand, six hundred eighty".