918849378113784 has 576 divisors, whose sum is σ = 2880539100784800. Its totient is φ = 262215433598976.

The previous prime is 918849378113783. The next prime is 918849378113861. The reversal of 918849378113784 is 487311873948819.

918849378113784 is a `hidden beast` number, since 9 + 1 + 8 + 8 + 493 + 7 + 8 + 11 + 37 + 84 = 666.

It is a super-3 number, since 3×918849378113784³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918849378113783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 818209597047 + ... + 818209598169.

Almost surely, 2^{918849378113784} 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 918849378113784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440269550392400).

918849378113784 is an abundant number, since it is smaller than the sum of its proper divisors (1961689722671016).

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

918849378113784 is a wasteful number, since it uses less digits than its factorization.

918849378113784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 1986 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 81.

The spelling of 918849378113784 in words is "nine hundred eighteen trillion, eight hundred forty-nine billion, three hundred seventy-eight million, one hundred thirteen thousand, seven hundred eighty-four".