1445133784416 has 192 divisors, whose sum is σ = 4660679761920. Its totient is φ = 382841233920.

The previous prime is 1445133784411. The next prime is 1445133784429. The reversal of 1445133784416 is 6144873315441.

It is a super-2 number, since 2×1445133784416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445133784411) 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 31 ways as a sum of consecutive naturals, for example, 603990 + ... + 1804181.

It is an arithmetic number, because the mean of its divisors is an integer number (24274373760).

Almost surely, 2^{1445133784416} is an apocalyptic number.

1445133784416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1445133784416 is an abundant number, since it is smaller than the sum of its proper divisors (3215545977504).

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

1445133784416 is a wasteful number, since it uses less digits than its factorization.

1445133784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408257 (or 2408249 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 1445133784416 in words is "one trillion, four hundred forty-five billion, one hundred thirty-three million, seven hundred eighty-four thousand, four hundred sixteen".