918144864 has 288 divisors, whose sum is σ = 3279092544. Its totient is φ = 237219840.

The previous prime is 918144841. The next prime is 918144907. The reversal of 918144864 is 468441819.

918144864 is a `hidden beast` number, since 91 + 81 + 4 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388694 + ... + 1389354.

It is an arithmetic number, because the mean of its divisors is an integer number (11385738).

Almost surely, 2^918144864 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 918144864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639546272).

918144864 is an abundant number, since it is smaller than the sum of its proper divisors (2360947680).

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

918144864 is a wasteful number, since it uses less digits than its factorization.

918144864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 918144864 is about 30300.9053330094. The cubic root of 918144864 is about 971.9346600390.

It can be divided in two parts, 9181 and 44864, that added together give a palindrome (54045).

The spelling of 918144864 in words is "nine hundred eighteen million, one hundred forty-four thousand, eight hundred sixty-four".