1616341314600 has 576 divisors, whose sum is σ = 5761047006000. Its totient is φ = 405496627200.

The previous prime is 1616341314589. The next prime is 1616341314641. The reversal of 1616341314600 is 64131436161.

1616341314600 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 3 + 41 + 3 + 1 + 4 + 600 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 436019861124 + 1180321453476 = 660318^2 + 1086426^2 .

It is a super-2 number, since 2×1616341314600² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 347075472 + ... + 347080128.

Almost surely, 2^{1616341314600} is an apocalyptic number.

1616341314600 is a gapful number since it is divisible by the number (10) 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 1616341314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880523503000).

1616341314600 is an abundant number, since it is smaller than the sum of its proper divisors (4144705691400).

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

1616341314600 is a wasteful number, since it uses less digits than its factorization.

1616341314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1616341314600 in words is "one trillion, six hundred sixteen billion, three hundred forty-one million, three hundred fourteen thousand, six hundred".