1916820849216 has 448 divisors, whose sum is σ = 6284807262720. Its totient is φ = 502078832640.

The previous prime is 1916820849197. The next prime is 1916820849221. The reversal of 1916820849216 is 6129480286191.

It is a tau number, because it is divible by the number of its divisors (448).

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, 2899879926 + ... + 2899880586.

It is an arithmetic number, because the mean of its divisors is an integer number (14028587640).

Almost surely, 2^{1916820849216} is an apocalyptic number.

1916820849216 is a gapful number since it is divisible by the number (16) 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 1916820849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142403631360).

1916820849216 is an abundant number, since it is smaller than the sum of its proper divisors (4367986413504).

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

1916820849216 is a wasteful number, since it uses less digits than its factorization.

1916820849216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 1916820849216 in words is "one trillion, nine hundred sixteen billion, eight hundred twenty million, eight hundred forty-nine thousand, two hundred sixteen".