444949649442432 has 96 divisors (see below), whose sum is σ = 1327810778810880. Its totient is φ = 148316549803776.

The previous prime is 444949649442413. The next prime is 444949649442437. The reversal of 444949649442432 is 234244946949444.

444949649442432 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 4 + 9 + 64 + 94 + 42 + 432 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (444949649442437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7152580288 + ... + 7152642495.

It is an arithmetic number, because the mean of its divisors is an integer number (13831362279280).

Almost surely, 2^{444949649442432} is an apocalyptic number.

It is an amenable number.

444949649442432 is an abundant number, since it is smaller than the sum of its proper divisors (882861129368448).

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

444949649442432 is an equidigital number, since it uses as much as digits as its factorization.

444949649442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14305222812 (or 14305222788 counting only the distinct ones).

The product of its digits is 3439853568, while the sum is 72.

The spelling of 444949649442432 in words is "four hundred forty-four trillion, nine hundred forty-nine billion, six hundred forty-nine million, four hundred forty-two thousand, four hundred thirty-two".