1616785010208 has 288 divisors, whose sum is σ = 4931869662720. Its totient is φ = 520479406080.

The previous prime is 1616785010173. The next prime is 1616785010227. The reversal of 1616785010208 is 8020105876161.

1616785010208 is a `hidden beast` number, since 1 + 61 + 67 + 8 + 501 + 0 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1616785010208² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122690916 + ... + 122704092.

It is an arithmetic number, because the mean of its divisors is an integer number (17124547440).

Almost surely, 2^{1616785010208} is an apocalyptic number.

1616785010208 is a gapful number since it is divisible by the number (18) 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 1616785010208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465934831360).

1616785010208 is an abundant number, since it is smaller than the sum of its proper divisors (3315084652512).

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

1616785010208 is a wasteful number, since it uses less digits than its factorization.

1616785010208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13742 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1616785010208 in words is "one trillion, six hundred sixteen billion, seven hundred eighty-five million, ten thousand, two hundred eight".