2016126149856 has 384 divisors, whose sum is σ = 6863352007680. Its totient is φ = 503233855488.

The previous prime is 2016126149839. The next prime is 2016126149879. The reversal of 2016126149856 is 6589416216102.

It is a junction number, because it is equal to n+sod(n) for n = 2016126149799 and 2016126149808.

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, 181414956 + ... + 181426068.

It is an arithmetic number, because the mean of its divisors is an integer number (17873312520).

Almost surely, 2^{2016126149856} is an apocalyptic number.

2016126149856 is a gapful number since it is divisible by the number (26) 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 2016126149856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431676003840).

2016126149856 is an abundant number, since it is smaller than the sum of its proper divisors (4847225857824).

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

2016126149856 is a wasteful number, since it uses less digits than its factorization.

2016126149856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 2016126149856 in words is "two trillion, sixteen billion, one hundred twenty-six million, one hundred forty-nine thousand, eight hundred fifty-six".