1445655146304 has 112 divisors (see below), whose sum is σ = 3861408340160. Its totient is φ = 477309542400.

The previous prime is 1445655146303. The next prime is 1445655146347. The reversal of 1445655146304 is 4036415565441.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445655146303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11493354 + ... + 11618454.

It is an arithmetic number, because the mean of its divisors is an integer number (34476860180).

Almost surely, 2^{1445655146304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445655146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930704170080).

1445655146304 is an abundant number, since it is smaller than the sum of its proper divisors (2415753193856).

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

1445655146304 is a wasteful number, since it uses less digits than its factorization.

1445655146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125688 (or 125678 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 1445655146304 in words is "one trillion, four hundred forty-five billion, six hundred fifty-five million, one hundred forty-six thousand, three hundred four".