110628081664 has 39 divisors (see below), whose sum is σ = 221271731337. Its totient is φ = 55303397376.

The previous prime is 110628081643. The next prime is 110628081667. The reversal of 110628081664 is 466180826011.

The square root of 110628081664 is 332608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50607001600 + 60021080064 = 224960^2 + 244992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110628081664.

It is not an unprimeable number, because it can be changed into a prime (110628081667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 21284314 + ... + 21289510.

Almost surely, 2^110628081664 is an apocalyptic number.

110628081664 is the 332608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110628081664

110628081664 is an abundant number, since it is smaller than the sum of its proper divisors (110643649673).

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

110628081664 is an frugal number, since it uses more digits than its factorization.

110628081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 110628081664 in words is "one hundred ten billion, six hundred twenty-eight million, eighty-one thousand, six hundred sixty-four".