16973974694016 has 448 divisors, whose sum is σ = 54695301396120. Its totient is φ = 5224667774976.

The previous prime is 16973974694009. The next prime is 16973974694041. The reversal of 16973974694016 is 61049647937961.

16973974694016 is a `hidden beast` number, since 1 + 6 + 9 + 73 + 97 + 4 + 69 + 401 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14339066596416 + 2634908097600 = 3786696^2 + 1623240^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 83973166 + ... + 84175058.

Almost surely, 2^{16973974694016} is an apocalyptic number.

16973974694016 is a gapful number since it is divisible by the number (16) 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 16973974694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27347650698060).

16973974694016 is an abundant number, since it is smaller than the sum of its proper divisors (37721326702104).

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

16973974694016 is an equidigital number, since it uses as much as digits as its factorization.

16973974694016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201995 (or 201968 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 16973974694016 in words is "sixteen trillion, nine hundred seventy-three billion, nine hundred seventy-four million, six hundred ninety-four thousand, sixteen".