16861321437744 has 320 divisors, whose sum is σ = 52117464268800. Its totient is φ = 4596730275840.

The previous prime is 16861321437739. The next prime is 16861321437767. The reversal of 16861321437744 is 44773412316861.

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

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, 986091307 + ... + 986108405.

It is an arithmetic number, because the mean of its divisors is an integer number (162867075840).

Almost surely, 2^{16861321437744} is an apocalyptic number.

16861321437744 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 16861321437744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26058732134400).

16861321437744 is an abundant number, since it is smaller than the sum of its proper divisors (35256142831056).

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

16861321437744 is a wasteful number, since it uses less digits than its factorization.

16861321437744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18728 (or 18722 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 16861321437744 in words is "sixteen trillion, eight hundred sixty-one billion, three hundred twenty-one million, four hundred thirty-seven thousand, seven hundred forty-four".