1981837303416 has 128 divisors (see below), whose sum is σ = 5532297062400. Its totient is φ = 657352350720.

The previous prime is 1981837303409. The next prime is 1981837303421. The reversal of 1981837303416 is 6143037381891.

1981837303416 is a `hidden beast` number, since 1 + 9 + 81 + 83 + 73 + 0 + 3 + 416 = 666.

It is a super-2 number, since 2×1981837303416² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102025881 + ... + 102045303.

It is an arithmetic number, because the mean of its divisors is an integer number (43221070800).

Almost surely, 2^{1981837303416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1981837303416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766148531200).

1981837303416 is an abundant number, since it is smaller than the sum of its proper divisors (3550459758984).

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

1981837303416 is a wasteful number, since it uses less digits than its factorization.

1981837303416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21746 (or 21736 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1981837303416 in words is "one trillion, nine hundred eighty-one billion, eight hundred thirty-seven million, three hundred three thousand, four hundred sixteen".