16688970273440 has 96 divisors (see below), whose sum is σ = 39838323054096. Its totient is φ = 6606130585600.

The previous prime is 16688970273407. The next prime is 16688970273511. The reversal of 16688970273440 is 4437207988661.

It can be written as a sum of positive squares in 8 ways, for example, as 5159930316304 + 11529039957136 = 2271548^2 + 3395444^2 .

It is a super-3 number, since 3×16688970273440³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31621964 + ... + 32145396.

Almost surely, 2^{16688970273440} is an apocalyptic number.

16688970273440 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 16688970273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19919161527048).

16688970273440 is an abundant number, since it is smaller than the sum of its proper divisors (23149352780656).

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

16688970273440 is a wasteful number, since it uses less digits than its factorization.

16688970273440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525522 (or 525514 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 65.

The spelling of 16688970273440 in words is "sixteen trillion, six hundred eighty-eight billion, nine hundred seventy million, two hundred seventy-three thousand, four hundred forty".