1445636014020 has 576 divisors, whose sum is σ = 5102171762688. Its totient is φ = 327879552000.

The previous prime is 1445636014001. The next prime is 1445636014027. The reversal of 1445636014020 is 204106365441.

1445636014020 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 6 + 3 + 601 + 40 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1445636014027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 423565834 + ... + 423569246.

It is an arithmetic number, because the mean of its divisors is an integer number (8857937088).

Almost surely, 2^{1445636014020} is an apocalyptic number.

1445636014020 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 1445636014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551085881344).

1445636014020 is an abundant number, since it is smaller than the sum of its proper divisors (3656535748668).

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

1445636014020 is a wasteful number, since it uses less digits than its factorization.

1445636014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1445636014020 in words is "one trillion, four hundred forty-five billion, six hundred thirty-six million, fourteen thousand, twenty".