110152299664 has 135 divisors (see below), whose sum is σ = 248207350041. Its totient is φ = 47314523520.

The previous prime is 110152299643. The next prime is 110152299757. The reversal of 110152299664 is 466992251011.

The square root of 110152299664 is 331892.

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., 73820890000 + 36331409664 = 271700^2 + 190608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 277461514 + ... + 277461910.

Almost surely, 2^110152299664 is an apocalyptic number.

110152299664 is the 331892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110152299664

110152299664 is an abundant number, since it is smaller than the sum of its proper divisors (138055050377).

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

110152299664 is an equidigital number, since it uses as much as digits as its factorization.

110152299664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 110152299664 in words is "one hundred ten billion, one hundred fifty-two million, two hundred ninety-nine thousand, six hundred sixty-four".