110661344964 has 45 divisors (see below), whose sum is σ = 289306269021. Its totient is φ = 36885119040.

The previous prime is 110661344953. The next prime is 110661345019. The reversal of 110661344964 is 469443166011.

The square root of 110661344964 is 332658.

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., 104614727364 + 6046617600 = 323442^2 + 77760^2 .

It is a super-2 number, since 2×110661344964² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5978604 + ... + 5997084.

Almost surely, 2^110661344964 is an apocalyptic number.

110661344964 is the 332658-th square number.

It is an amenable number.

110661344964 is an abundant number, since it is smaller than the sum of its proper divisors (178644924057).

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

110661344964 is an frugal number, since it uses more digits than its factorization.

110661344964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36978 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

It can be divided in two parts, 110661 and 344964, that added together give a square (455625 = 675²).

The spelling of 110661344964 in words is "one hundred ten billion, six hundred sixty-one million, three hundred forty-four thousand, nine hundred sixty-four".