44311021743168 has 84 divisors (see below), whose sum is σ = 127010697860748. Its totient is φ = 14770206305280.

The previous prime is 44311021743167. The next prime is 44311021743173. The reversal of 44311021743168 is 86134712011344.

44311021743168 is a `hidden beast` number, since 4 + 4 + 3 + 110 + 217 + 4 + 316 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25312651444224 + 18998370298944 = 5031168^2 + 4358712^2 .

It is a super-2 number, since 2×44311021743168² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44311021743167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78476898 + ... + 79039518.

Almost surely, 2^{44311021743168} is an apocalyptic number.

44311021743168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44311021743168 is an abundant number, since it is smaller than the sum of its proper divisors (82699676117580).

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

44311021743168 is a wasteful number, since it uses less digits than its factorization.

44311021743168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699372 (or 699359 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 44311021743168 in words is "forty-four trillion, three hundred eleven billion, twenty-one million, seven hundred forty-three thousand, one hundred sixty-eight".