44493263998272 has 336 divisors, whose sum is σ = 130020821024640. Its totient is φ = 14545350144000.

The previous prime is 44493263998223. The next prime is 44493263998273. The reversal of 44493263998272 is 27289936239444.

44493263998272 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 3 + 263 + 9 + 98 + 272 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44493263998272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44493263998273) 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 47 ways as a sum of consecutive naturals, for example, 2188219018 + ... + 2188239350.

It is an arithmetic number, because the mean of its divisors is an integer number (386966729240).

Almost surely, 2^{44493263998272} 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 44493263998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65010410512320).

44493263998272 is an abundant number, since it is smaller than the sum of its proper divisors (85527557026368).

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

44493263998272 is a wasteful number, since it uses less digits than its factorization.

44493263998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20822 (or 20809 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 44493263998272 in words is "forty-four trillion, four hundred ninety-three billion, two hundred sixty-three million, nine hundred ninety-eight thousand, two hundred seventy-two".