110344158320172 has 768 divisors, whose sum is σ = 313536053698560. Its totient is φ = 29563630387200.

The previous prime is 110344158320129. The next prime is 110344158320173. The reversal of 110344158320172 is 271023851443011.

It is a super-2 number, since 2×110344158320172² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (110344158320173) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 457859577972 + ... + 457859578212.

It is an arithmetic number, because the mean of its divisors is an integer number (408250069920).

Almost surely, 2^{110344158320172} is an apocalyptic number.

110344158320172 is a gapful number since it is divisible by the number (12) 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 110344158320172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156768026849280).

110344158320172 is an abundant number, since it is smaller than the sum of its proper divisors (203191895378388).

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

110344158320172 is a wasteful number, since it uses less digits than its factorization.

110344158320172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 110344158320172 in words is "one hundred ten trillion, three hundred forty-four billion, one hundred fifty-eight million, three hundred twenty thousand, one hundred seventy-two".