44106543364104 has 256 divisors, whose sum is σ = 135319519238400. Its totient is φ = 13224686745600.

The previous prime is 44106543364069. The next prime is 44106543364109. The reversal of 44106543364104 is 40146334560144.

44106543364104 is a `hidden beast` number, since 4 + 4 + 106 + 5 + 433 + 6 + 4 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44106543364104.

It is not an unprimeable number, because it can be changed into a prime (44106543364109) 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, 97979619 + ... + 98428749.

It is an arithmetic number, because the mean of its divisors is an integer number (528591872025).

Almost surely, 2^{44106543364104} 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 44106543364104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67659759619200).

44106543364104 is an abundant number, since it is smaller than the sum of its proper divisors (91212975874296).

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

44106543364104 is a wasteful number, since it uses less digits than its factorization.

44106543364104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450053 (or 450043 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 44106543364104 in words is "forty-four trillion, one hundred six billion, five hundred forty-three million, three hundred sixty-four thousand, one hundred four".