1616182911072 has 384 divisors, whose sum is σ = 4891670784000. Its totient is φ = 518784860160.

The previous prime is 1616182911071. The next prime is 1616182911131. The reversal of 1616182911072 is 2701192816161.

1616182911072 is a `hidden beast` number, since 1 + 6 + 1 + 618 + 29 + 1 + 1 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×1616182911072² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616182911071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1601766504 + ... + 1601767512.

It is an arithmetic number, because the mean of its divisors is an integer number (12738726000).

Almost surely, 2^{1616182911072} is an apocalyptic number.

1616182911072 is a gapful number since it is divisible by the number (12) 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 1616182911072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445835392000).

1616182911072 is an abundant number, since it is smaller than the sum of its proper divisors (3275487872928).

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

1616182911072 is a wasteful number, since it uses less digits than its factorization.

1616182911072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 1616182911072 in words is "one trillion, six hundred sixteen billion, one hundred eighty-two million, nine hundred eleven thousand, seventy-two".