1445908768416 has 960 divisors, whose sum is σ = 5176657575936. Its totient is φ = 387207475200.

The previous prime is 1445908768397. The next prime is 1445908768457. The reversal of 1445908768416 is 6148678095441.

1445908768416 is a `hidden beast` number, since 1 + 4 + 459 + 0 + 87 + 68 + 41 + 6 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4619516676 + ... + 4619516988.

Almost surely, 2^{1445908768416} is an apocalyptic number.

1445908768416 is a gapful number since it is divisible by the number (16) 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 1445908768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588328787968).

1445908768416 is an abundant number, since it is smaller than the sum of its proper divisors (3730748807520).

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

1445908768416 is a wasteful number, since it uses less digits than its factorization.

1445908768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1445908768416 in words is "one trillion, four hundred forty-five billion, nine hundred eight million, seven hundred sixty-eight thousand, four hundred sixteen".