44542266224544 has 576 divisors, whose sum is σ = 146320793297280. Its totient is φ = 13065960960000.

The previous prime is 44542266224543. The next prime is 44542266224549.

44542266224544 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 2 + 2 + 6 + 622 + 4 + 5 + 4 + 4 = 666.

44542266224544 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (44542266224543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6687020574 + ... + 6687027234.

It is an arithmetic number, because the mean of its divisors is an integer number (254029155030).

Almost surely, 2^{44542266224544} is an apocalyptic number.

44542266224544 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 44542266224544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73160396648640).

44542266224544 is an abundant number, since it is smaller than the sum of its proper divisors (101778527072736).

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

44542266224544 is a wasteful number, since it uses less digits than its factorization.

44542266224544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6849 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 44542266224544 in words is "forty-four trillion, five hundred forty-two billion, two hundred sixty-six million, two hundred twenty-four thousand, five hundred forty-four".