1445394956544 has 648 divisors, whose sum is σ = 5332799515680. Its totient is φ = 375388231680.

The previous prime is 1445394956543. The next prime is 1445394956549. The reversal of 1445394956544 is 4456594935441.

1445394956544 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 39 + 4 + 9 + 56 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1445394956543) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150259767 + ... + 150269385.

Almost surely, 2^{1445394956544} is an apocalyptic number.

1445394956544 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 1445394956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666399757840).

1445394956544 is an abundant number, since it is smaller than the sum of its proper divisors (3887404559136).

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

1445394956544 is an equidigital number, since it uses as much as digits as its factorization.

1445394956544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9642 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 1445394956544 in words is "one trillion, four hundred forty-five billion, three hundred ninety-four million, nine hundred fifty-six thousand, five hundred forty-four".