110802314816256 has 216 divisors, whose sum is σ = 343177181028864. Its totient is φ = 31645327902720.

The previous prime is 110802314816233. The next prime is 110802314816261. The reversal of 110802314816256 is 652618413208011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95119261 + ... + 96277091.

It is an arithmetic number, because the mean of its divisors is an integer number (1588783245504).

Almost surely, 2^{110802314816256} is an apocalyptic number.

110802314816256 is a gapful number since it is divisible by the number (16) 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 110802314816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171588590514432).

110802314816256 is an abundant number, since it is smaller than the sum of its proper divisors (232374866212608).

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

110802314816256 is a wasteful number, since it uses less digits than its factorization.

110802314816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160407 (or 1160386 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 110802314816256 in words is "one hundred ten trillion, eight hundred two billion, three hundred fourteen million, eight hundred sixteen thousand, two hundred fifty-six".