110641198406544 has 135 divisors (see below), whose sum is σ = 335297450610993. Its totient is φ = 34042940770176.

The previous prime is 110641198406461. The next prime is 110641198406561. The reversal of 110641198406544 is 445604891146011.

It is a happy number.

The square root of 110641198406544 is 10518612.

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

110641198406544 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 4 + 1 + 1 + 98 + 4 + 0 + 6 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16367041184400 + 94274157222144 = 4045620^2 + 9709488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1640869759 + ... + 1640937185.

Almost surely, 2^{110641198406544} is an apocalyptic number.

110641198406544 is the 10518612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110641198406544

110641198406544 is an abundant number, since it is smaller than the sum of its proper divisors (224656252204449).

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

110641198406544 is an frugal number, since it uses more digits than its factorization.

110641198406544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134894 (or 67445 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 110641198406544 in words is "one hundred ten trillion, six hundred forty-one billion, one hundred ninety-eight million, four hundred six thousand, five hundred forty-four".