44735853744 has 160 divisors (see below), whose sum is σ = 132218412480. Its totient is φ = 14473267200.

The previous prime is 44735853727. The next prime is 44735853751.

44735853744 is a `hidden beast` number, since 4 + 473 + 58 + 53 + 74 + 4 = 666.

44735853744 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44735853744² (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3482854 + ... + 3495674.

It is an arithmetic number, because the mean of its divisors is an integer number (826365078).

Almost surely, 2^44735853744 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 44735853744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66109206240).

44735853744 is an abundant number, since it is smaller than the sum of its proper divisors (87482558736).

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

44735853744 is a wasteful number, since it uses less digits than its factorization.

44735853744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13076 (or 13064 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 44735853744 in words is "forty-four billion, seven hundred thirty-five million, eight hundred fifty-three thousand, seven hundred forty-four".