444655484150680 has 256 divisors, whose sum is σ = 1158257134540800. Its totient is φ = 151835766865920.

The previous prime is 444655484150671. The next prime is 444655484150681. The reversal of 444655484150680 is 86051484556444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444655484150681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6844085236 + ... + 6844150204.

It is an arithmetic number, because the mean of its divisors is an integer number (4524441931800).

Almost surely, 2^{444655484150680} is an apocalyptic number.

444655484150680 is a gapful number since it is divisible by the number (40) 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 444655484150680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579128567270400).

444655484150680 is an abundant number, since it is smaller than the sum of its proper divisors (713601650390120).

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

444655484150680 is a wasteful number, since it uses less digits than its factorization.

444655484150680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67074 (or 67070 counting only the distinct ones).

The product of its (nonzero) digits is 294912000, while the sum is 64.

The spelling of 444655484150680 in words is "four hundred forty-four trillion, six hundred fifty-five billion, four hundred eighty-four million, one hundred fifty thousand, six hundred eighty".