10906493040004 has 27 divisors (see below), whose sum is σ = 19278386916271. Its totient is φ = 5398923730400.

The previous prime is 10906493039993. The next prime is 10906493040011. The reversal of 10906493040004 is 40004039460901.

The square root of 10906493040004 is 3302498.

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

It can be written as a sum of positive squares in 4 ways, for example, as 486509040004 + 10419984000000 = 697502^2 + 3228000^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 667096422 + ... + 667112770.

Almost surely, 2^{10906493040004} is an apocalyptic number.

10906493040004 is the 3302498-th square number.

It is an amenable number.

10906493040004 is a deficient number, since it is larger than the sum of its proper divisors (8371893876267).

10906493040004 is an frugal number, since it uses more digits than its factorization.

10906493040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32904 (or 16452 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 10906493040004 in words is "ten trillion, nine hundred six billion, four hundred ninety-three million, forty thousand, four".