100443466464 has 96 divisors (see below), whose sum is σ = 289094230656. Its totient is φ = 30282846720.

The previous prime is 100443466447. The next prime is 100443466469. The reversal of 100443466464 is 464664344001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100443466469) 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 15 ways as a sum of consecutive naturals, for example, 33382 + ... + 449445.

It is an arithmetic number, because the mean of its divisors is an integer number (3011398236).

Almost surely, 2^100443466464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100443466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144547115328).

100443466464 is an abundant number, since it is smaller than the sum of its proper divisors (188650764192).

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

100443466464 is a wasteful number, since it uses less digits than its factorization.

100443466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483048 (or 483040 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 100443466464 in words is "one hundred billion, four hundred forty-three million, four hundred sixty-six thousand, four hundred sixty-four".