16778962668384 has 672 divisors, whose sum is σ = 59716552008960. Its totient is φ = 4531436006400.

The previous prime is 16778962668353. The next prime is 16778962668389. The reversal of 16778962668384 is 48386626987761.

16778962668384 is a `hidden beast` number, since 1 + 6 + 7 + 78 + 96 + 26 + 68 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16778962668389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1430303799 + ... + 1430315529.

It is an arithmetic number, because the mean of its divisors is an integer number (88863916680).

Almost surely, 2^{16778962668384} is an apocalyptic number.

16778962668384 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 16778962668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29858276004480).

16778962668384 is an abundant number, since it is smaller than the sum of its proper divisors (42937589340576).

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

16778962668384 is a wasteful number, since it uses less digits than its factorization.

16778962668384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12223 counting only the distinct ones).

The product of its digits is 7023034368, while the sum is 81.

The spelling of 16778962668384 in words is "sixteen trillion, seven hundred seventy-eight billion, nine hundred sixty-two million, six hundred sixty-eight thousand, three hundred eighty-four".