110495078464 has 63 divisors (see below), whose sum is σ = 225550726317. Its totient is φ = 53706495744.

The previous prime is 110495078459. The next prime is 110495078467. The reversal of 110495078464 is 464870594011.

The square root of 110495078464 is 332408.

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., 98872513600 + 11622564864 = 314440^2 + 107808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110495078467) 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 8 ways as a sum of consecutive naturals, for example, 98392207 + ... + 98393329.

It is an arithmetic number, because the mean of its divisors is an integer number (3580170259).

Almost surely, 2^110495078464 is an apocalyptic number.

110495078464 is the 332408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110495078464

110495078464 is an abundant number, since it is smaller than the sum of its proper divisors (115055647853).

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

110495078464 is an frugal number, since it uses more digits than its factorization.

110495078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 110495078464 by its sum of digits (49), we get a square (5414258844736 = 2326856²).

The spelling of 110495078464 in words is "one hundred ten billion, four hundred ninety-five million, seventy-eight thousand, four hundred sixty-four".