16339777138944 has 288 divisors, whose sum is σ = 55230496231680. Its totient is φ = 4667822899200.

The previous prime is 16339777138933. The next prime is 16339777138963. The reversal of 16339777138944 is 44983177793361.

16339777138944 is a `hidden beast` number, since 1 + 6 + 339 + 7 + 77 + 138 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 394841134 + ... + 394882514.

It is an arithmetic number, because the mean of its divisors is an integer number (191772556360).

Almost surely, 2^{16339777138944} is an apocalyptic number.

16339777138944 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 16339777138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27615248115840).

16339777138944 is an abundant number, since it is smaller than the sum of its proper divisors (38890719092736).

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

16339777138944 is an equidigital number, since it uses as much as digits as its factorization.

16339777138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49574 (or 49554 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 16339777138944 in words is "sixteen trillion, three hundred thirty-nine billion, seven hundred seventy-seven million, one hundred thirty-eight thousand, nine hundred forty-four".