1616286171864 has 256 divisors, whose sum is σ = 5236689024000. Its totient is φ = 403702548480.

The previous prime is 1616286171833. The next prime is 1616286171901. The reversal of 1616286171864 is 4681716826161.

It is a super-2 number, since 2×1616286171864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191748802 + ... + 191757230.

It is an arithmetic number, because the mean of its divisors is an integer number (20455816500).

Almost surely, 2^{1616286171864} is an apocalyptic number.

1616286171864 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 1616286171864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618344512000).

1616286171864 is an abundant number, since it is smaller than the sum of its proper divisors (3620402852136).

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

1616286171864 is a wasteful number, since it uses less digits than its factorization.

1616286171864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13098 (or 13094 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 1616286171864 in words is "one trillion, six hundred sixteen billion, two hundred eighty-six million, one hundred seventy-one thousand, eight hundred sixty-four".