918240564150 has 432 divisors, whose sum is σ = 3111421950000. Its totient is φ = 192429457920.

The previous prime is 918240564119. The next prime is 918240564151. The reversal of 918240564150 is 51465042819.

918240564150 is a `hidden beast` number, since 9 + 1 + 82 + 4 + 0 + 564 + 1 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 918240564096 and 918240564105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918240564151) 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 215 ways as a sum of consecutive naturals, for example, 42700101 + ... + 42721599.

It is an arithmetic number, because the mean of its divisors is an integer number (7202365625).

Almost surely, 2^918240564150 is an apocalyptic number.

918240564150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 918240564150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555710975000).

918240564150 is an abundant number, since it is smaller than the sum of its proper divisors (2193181385850).

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

918240564150 is a wasteful number, since it uses less digits than its factorization.

918240564150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21693 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 918240564150 in words is "nine hundred eighteen billion, two hundred forty million, five hundred sixty-four thousand, one hundred fifty".