851814144 has 108 divisors (see below), whose sum is σ = 2547138776. Its totient is φ = 283917312.

The previous prime is 851814097. The next prime is 851814149. The reversal of 851814144 is 441418158.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 851814099 and 851814108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851814149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55362 + ... + 69054.

Almost surely, 2^851814144 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 851814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273569388).

851814144 is an abundant number, since it is smaller than the sum of its proper divisors (1695324632).

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

851814144 is an equidigital number, since it uses as much as digits as its factorization.

851814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724 (or 13698 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 851814144 is about 29185.8552041910. The cubic root of 851814144 is about 947.9416724248.

The spelling of 851814144 in words is "eight hundred fifty-one million, eight hundred fourteen thousand, one hundred forty-four".