1616143476864 has 384 divisors, whose sum is σ = 5162095249920. Its totient is φ = 446232084480.

The previous prime is 1616143476823. The next prime is 1616143476869. The reversal of 1616143476864 is 4686743416161.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1616143476864² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1616143476869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546546874 + ... + 546549830.

It is an arithmetic number, because the mean of its divisors is an integer number (13442956380).

Almost surely, 2^{1616143476864} is an apocalyptic number.

1616143476864 is a gapful number since it is divisible by the number (14) 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 1616143476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581047624960).

1616143476864 is an abundant number, since it is smaller than the sum of its proper divisors (3545951773056).

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

1616143476864 is a wasteful number, since it uses less digits than its factorization.

1616143476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3937 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 1616143476864 in words is "one trillion, six hundred sixteen billion, one hundred forty-three million, four hundred seventy-six thousand, eight hundred sixty-four".