110352261632 has 90 divisors (see below), whose sum is σ = 225541874943. Its totient is φ = 53939638272.

The previous prime is 110352261589. The next prime is 110352261671. The reversal of 110352261632 is 236162253011.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 41153802496 + 69198459136 = 202864^2 + 263056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=234896.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 8 ways as a sum of consecutive naturals, for example, 398383478 + ... + 398383754.

Almost surely, 2^110352261632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110352261632

110352261632 is an abundant number, since it is smaller than the sum of its proper divisors (115189613311).

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

110352261632 is an frugal number, since it uses more digits than its factorization.

110352261632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Multiplying 110352261632 by its sum of digits (32), we get a square (3531272372224 = 1879168²).

110352261632 divided by its sum of digits (32) gives a square (3448508176 = 58724²).

The spelling of 110352261632 in words is "one hundred ten billion, three hundred fifty-two million, two hundred sixty-one thousand, six hundred thirty-two".