194318102016 has 240 divisors, whose sum is σ = 576945729360. Its totient is φ = 62935695360.

The previous prime is 194318101997. The next prime is 194318102021. The reversal of 194318102016 is 610201813491.

194318102016 is a `hidden beast` number, since 1 + 9 + 431 + 8 + 10 + 201 + 6 = 666.

It is a super-2 number, since 2×194318102016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23326140 + ... + 23334468.

It is an arithmetic number, because the mean of its divisors is an integer number (2403940539).

Almost surely, 2^194318102016 is an apocalyptic number.

194318102016 is a gapful number since it is divisible by the number (16) 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 194318102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288472864680).

194318102016 is an abundant number, since it is smaller than the sum of its proper divisors (382627627344).

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

194318102016 is an equidigital number, since it uses as much as digits as its factorization.

194318102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 194318102016 in words is "one hundred ninety-four billion, three hundred eighteen million, one hundred two thousand, sixteen".