918106920416 has 384 divisors, whose sum is σ = 2303295160320. Its totient is φ = 351220396032.

The previous prime is 918106920407. The next prime is 918106920427. The reversal of 918106920416 is 614029601819.

It is a super-2 number, since 2×918106920416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2990576135 + ... + 2990576441.

It is an arithmetic number, because the mean of its divisors is an integer number (5998164480).

Almost surely, 2^918106920416 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 918106920416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151647580160).

918106920416 is an abundant number, since it is smaller than the sum of its proper divisors (1385188239904).

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

918106920416 is a wasteful number, since it uses less digits than its factorization.

918106920416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The spelling of 918106920416 in words is "nine hundred eighteen billion, one hundred six million, nine hundred twenty thousand, four hundred sixteen".