1445636013300 has 432 divisors, whose sum is σ = 4760777374080. Its totient is φ = 366436224000.

The previous prime is 1445636013251. The next prime is 1445636013301. The reversal of 1445636013300 is 33106365441.

1445636013300 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 636 + 0 + 13 + 3 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445636013301) 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 143 ways as a sum of consecutive naturals, for example, 486580815 + ... + 486583785.

Almost surely, 2^{1445636013300} is an apocalyptic number.

1445636013300 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 1445636013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380388687040).

1445636013300 is an abundant number, since it is smaller than the sum of its proper divisors (3315141360780).

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

1445636013300 is a wasteful number, since it uses less digits than its factorization.

1445636013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1445636013300 in words is "one trillion, four hundred forty-five billion, six hundred thirty-six million, thirteen thousand, three hundred".