44345611654344 has 2048 divisors, whose sum is σ = 187686413107200. Its totient is φ = 9312448020480.

The previous prime is 44345611654297. The next prime is 44345611654391.

44345611654344 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 56 + 1 + 1 + 6 + 543 + 44 = 666.

44345611654344 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44345611654297) and next prime (44345611654391).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3127989784 + ... + 3128003960.

It is an arithmetic number, because the mean of its divisors is an integer number (91643756400).

Almost surely, 2^{44345611654344} is an apocalyptic number.

44345611654344 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 44345611654344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93843206553600).

44345611654344 is an abundant number, since it is smaller than the sum of its proper divisors (143340801452856).

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

44345611654344 is a wasteful number, since it uses less digits than its factorization.

44345611654344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14300 (or 14290 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 44345611654344 in words is "forty-four trillion, three hundred forty-five billion, six hundred eleven million, six hundred fifty-four thousand, three hundred forty-four".