10649688184996 has 81 divisors (see below), whose sum is σ = 21788430005601. Its totient is φ = 4541380171776.

The previous prime is 10649688184981. The next prime is 10649688185021. The reversal of 10649688184996 is 69948188694601.

The square root of 10649688184996 is 3263386.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10484579240100 + 165108944896 = 3237990^2 + 406336^2 .

It is a super-3 number, since 3×10649688184996³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11741662375 + ... + 11741663281.

Almost surely, 2^{10649688184996} is an apocalyptic number.

10649688184996 is the 3263386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10649688184996

10649688184996 is an abundant number, since it is smaller than the sum of its proper divisors (11138741820605).

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

10649688184996 is an frugal number, since it uses more digits than its factorization.

10649688184996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 79.

The spelling of 10649688184996 in words is "ten trillion, six hundred forty-nine billion, six hundred eighty-eight million, one hundred eighty-four thousand, nine hundred ninety-six".