10806311154384 has 480 divisors, whose sum is σ = 33090942044160. Its totient is φ = 3282441034752.

The previous prime is 10806311154343. The next prime is 10806311154413. The reversal of 10806311154384 is 48345111360801.

10806311154384 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 631 + 1 + 1 + 5 + 4 + 3 + 8 + 4 = 666.

It is a super-3 number, since 3×10806311154384³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1901512407 + ... + 1901518089.

It is an arithmetic number, because the mean of its divisors is an integer number (68939462592).

Almost surely, 2^{10806311154384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10806311154384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16545471022080).

10806311154384 is an abundant number, since it is smaller than the sum of its proper divisors (22284630889776).

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

10806311154384 is a wasteful number, since it uses less digits than its factorization.

10806311154384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10806311154384 in words is "ten trillion, eight hundred six billion, three hundred eleven million, one hundred fifty-four thousand, three hundred eighty-four".