44261366012864 has 672 divisors, whose sum is σ = 121887044024256. Its totient is φ = 15673071697920.

The previous prime is 44261366012863. The next prime is 44261366012867. The reversal of 44261366012864 is 46821066316244.

44261366012864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×44261366012864² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44261366012863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35781216854 + ... + 35781218090.

It is an arithmetic number, because the mean of its divisors is an integer number (181379529798).

Almost surely, 2^{44261366012864} is an apocalyptic number.

44261366012864 is a gapful number since it is divisible by the number (44) 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 44261366012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60943522012128).

44261366012864 is an abundant number, since it is smaller than the sum of its proper divisors (77625678011392).

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

44261366012864 is a wasteful number, since it uses less digits than its factorization.

44261366012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 53.

The spelling of 44261366012864 in words is "forty-four trillion, two hundred sixty-one billion, three hundred sixty-six million, twelve thousand, eight hundred sixty-four".