110199447072 has 864 divisors, whose sum is σ = 403509178800. Its totient is φ = 28223078400.

The previous prime is 110199447047. The next prime is 110199447073. The reversal of 110199447072 is 270744991011.

110199447072 is a `hidden beast` number, since 1 + 10 + 19 + 94 + 470 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32846487696 + 77352959376 = 181236^2 + 278124^2 .

It is not an unprimeable number, because it can be changed into a prime (110199447073) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315757554 + ... + 315757902.

Almost surely, 2^110199447072 is an apocalyptic number.

110199447072 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 110199447072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201754589400).

110199447072 is an abundant number, since it is smaller than the sum of its proper divisors (293309731728).

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

110199447072 is a wasteful number, since it uses less digits than its factorization.

110199447072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 110199447072 in words is "one hundred ten billion, one hundred ninety-nine million, four hundred forty-seven thousand, seventy-two".