44402349505536 has 704 divisors, whose sum is σ = 144287945579520. Its totient is φ = 13377208320000.

The previous prime is 44402349505519. The next prime is 44402349505541. The reversal of 44402349505536 is 63550594320444.

44402349505536 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 2 + 34 + 9 + 50 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×44402349505536² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 70368223941 + ... + 70368224571.

Almost surely, 2^{44402349505536} 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 44402349505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72143972789760).

44402349505536 is an abundant number, since it is smaller than the sum of its proper divisors (99885596073984).

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

44402349505536 is a wasteful number, since it uses less digits than its factorization.

44402349505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 44402349505536 in words is "forty-four trillion, four hundred two billion, three hundred forty-nine million, five hundred five thousand, five hundred thirty-six".