918411689520 has 400 divisors, whose sum is σ = 3460265091360. Its totient is φ = 224417599488.

The previous prime is 918411689491. The next prime is 918411689537. The reversal of 918411689520 is 25986114819.

918411689520 is a `hidden beast` number, since 9 + 18 + 41 + 1 + 68 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11501091 + ... + 11580669.

Almost surely, 2^918411689520 is an apocalyptic number.

918411689520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918411689520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730132545680).

918411689520 is an abundant number, since it is smaller than the sum of its proper divisors (2541853401840).

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

918411689520 is a wasteful number, since it uses less digits than its factorization.

918411689520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79754 (or 79739 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 918411689520 in words is "nine hundred eighteen billion, four hundred eleven million, six hundred eighty-nine thousand, five hundred twenty".