1684190590416 has 120 divisors (see below), whose sum is σ = 4735594774560. Its totient is φ = 558754184448.

The previous prime is 1684190590387. The next prime is 1684190590417. The reversal of 1684190590416 is 6140950914861.

1684190590416 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 1 + 9 + 0 + 590 + 41 + 6 = 666.

It is a super-3 number, since 3×1684190590416³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684190590417) by changing a digit.

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, 154379970 + ... + 154390878.

It is an arithmetic number, because the mean of its divisors is an integer number (39463289788).

Almost surely, 2^{1684190590416} is an apocalyptic number.

1684190590416 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 1684190590416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367797387280).

1684190590416 is an abundant number, since it is smaller than the sum of its proper divisors (3051404184144).

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

1684190590416 is a wasteful number, since it uses less digits than its factorization.

1684190590416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15873 (or 15864 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1684190590416 in words is "one trillion, six hundred eighty-four billion, one hundred ninety million, five hundred ninety thousand, four hundred sixteen".