110883672064 has 195 divisors, whose sum is σ = 249717092115. Its totient is φ = 49229537280.

The previous prime is 110883672049. The next prime is 110883672073. The reversal of 110883672064 is 460276388011.

It is a happy number.

The square root of 110883672064 is 332992.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 2578690027 + ... + 2578690069.

Almost surely, 2^110883672064 is an apocalyptic number.

110883672064 is the 332992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110883672064

110883672064 is an abundant number, since it is smaller than the sum of its proper divisors (138833420051).

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

110883672064 is an frugal number, since it uses more digits than its factorization.

110883672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 110883672064 in words is "one hundred ten billion, eight hundred eighty-three million, six hundred seventy-two thousand, sixty-four".