110386533261312 has 1680 divisors, whose sum is σ = 411307402903488. Its totient is φ = 28284909649920.

The previous prime is 110386533261293. The next prime is 110386533261313. The reversal of 110386533261312 is 213162335683011.

110386533261312 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 8 + 6 + 5 + 3 + 326 + 1 + 312 = 666.

It is a super-2 number, since 2×110386533261312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110386533261313) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 161620106923 + ... + 161620107605.

Almost surely, 2^{110386533261312} is an apocalyptic number.

110386533261312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110386533261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205653701451744).

110386533261312 is an abundant number, since it is smaller than the sum of its proper divisors (300920869642176).

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

110386533261312 is an frugal number, since it uses more digits than its factorization.

110386533261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 110386533261312 in words is "one hundred ten trillion, three hundred eighty-six billion, five hundred thirty-three million, two hundred sixty-one thousand, three hundred twelve".