110956044672 has 640 divisors, whose sum is σ = 376021245600. Its totient is φ = 32182272000.

The previous prime is 110956044671. The next prime is 110956044679. The reversal of 110956044672 is 276440659011.

110956044672 is a `hidden beast` number, since 1 + 10 + 9 + 560 + 4 + 4 + 6 + 72 = 666.

It is a super-2 number, since 2×110956044672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110956044671) 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 79 ways as a sum of consecutive naturals, for example, 285233854 + ... + 285234242.

Almost surely, 2^110956044672 is an apocalyptic number.

110956044672 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 110956044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188010622800).

110956044672 is an abundant number, since it is smaller than the sum of its proper divisors (265065200928).

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

110956044672 is a wasteful number, since it uses less digits than its factorization.

110956044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 110956044672 in words is "one hundred ten billion, nine hundred fifty-six million, forty-four thousand, six hundred seventy-two".