16344131881140 has 1728 divisors, whose sum is σ = 64761740918784. Its totient is φ = 3437336383488.

The previous prime is 16344131881139. The next prime is 16344131881141. The reversal of 16344131881140 is 4118813144361.

16344131881140 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 413 + 18 + 81 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (16344131881139) and next prime (16344131881141).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16344131881141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42673973389 + ... + 42673973771.

It is an arithmetic number, because the mean of its divisors is an integer number (37477859328).

Almost surely, 2^{16344131881140} is an apocalyptic number.

16344131881140 is a gapful number since it is divisible by the number (10) 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 16344131881140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32380870459392).

16344131881140 is an abundant number, since it is smaller than the sum of its proper divisors (48417609037644).

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

16344131881140 is a wasteful number, since it uses less digits than its factorization.

16344131881140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 16344131881140 in words is "sixteen trillion, three hundred forty-four billion, one hundred thirty-one million, eight hundred eighty-one thousand, one hundred forty".