44734935168 has 864 divisors, whose sum is σ = 172012538880. Its totient is φ = 10921236480.

The previous prime is 44734935127. The next prime is 44734935229. The reversal of 44734935168 is 86153943744.

44734935168 is a `hidden beast` number, since 4 + 4 + 7 + 34 + 93 + 516 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 352243521 + ... + 352243647.

Almost surely, 2^44734935168 is an apocalyptic number.

44734935168 is a gapful number since it is divisible by the number (48) 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 44734935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86006269440).

44734935168 is an abundant number, since it is smaller than the sum of its proper divisors (127277603712).

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

44734935168 is a wasteful number, since it uses less digits than its factorization.

44734935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 169 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 44734935168 in words is "forty-four billion, seven hundred thirty-four million, nine hundred thirty-five thousand, one hundred sixty-eight".