814234960110 has 256 divisors, whose sum is σ = 2383520670720. Its totient is φ = 175289856000.

The previous prime is 814234960093. The next prime is 814234960117. The reversal of 814234960110 is 11069432418.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814234960117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34947565 + ... + 34970855.

It is an arithmetic number, because the mean of its divisors is an integer number (9310627620).

Almost surely, 2^814234960110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814234960110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191760335360).

814234960110 is an abundant number, since it is smaller than the sum of its proper divisors (1569285710610).

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

814234960110 is a wasteful number, since it uses less digits than its factorization.

814234960110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23635.

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 814234960110 in words is "eight hundred fourteen billion, two hundred thirty-four million, nine hundred sixty thousand, one hundred ten".