918756192864 has 144 divisors (see below), whose sum is σ = 2494476565056. Its totient is φ = 296083549440.

The previous prime is 918756192859. The next prime is 918756192901. The reversal of 918756192864 is 468291657819.

It is a super-2 number, since 2×918756192864² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 918756192795 and 918756192804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107289447 + ... + 107298009.

It is an arithmetic number, because the mean of its divisors is an integer number (17322753924).

Almost surely, 2^918756192864 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 918756192864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247238282528).

918756192864 is an abundant number, since it is smaller than the sum of its proper divisors (1575720372192).

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

918756192864 is a wasteful number, since it uses less digits than its factorization.

918756192864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9801 (or 9762 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 66.

The spelling of 918756192864 in words is "nine hundred eighteen billion, seven hundred fifty-six million, one hundred ninety-two thousand, eight hundred sixty-four".