1446882030900 has 432 divisors, whose sum is σ = 4963160337408. Its totient is φ = 350977536000.

The previous prime is 1446882030851. The next prime is 1446882030911. The reversal of 1446882030900 is 90302886441.

It is a happy number.

It is a super-2 number, since 2×1446882030900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 518408505 + ... + 518411295.

Almost surely, 2^{1446882030900} is an apocalyptic number.

1446882030900 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 1446882030900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481580168704).

1446882030900 is an abundant number, since it is smaller than the sum of its proper divisors (3516278306508).

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

1446882030900 is a wasteful number, since it uses less digits than its factorization.

1446882030900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1446882030900 in words is "one trillion, four hundred forty-six billion, eight hundred eighty-two million, thirty thousand, nine hundred".