1101817641006 has 80 divisors (see below), whose sum is σ = 2521700753616. Its totient is φ = 359485910784.

The previous prime is 1101817640999. The next prime is 1101817641037. The reversal of 1101817641006 is 6001467181011.

1101817641006 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 8 + 1 + 7 + 641 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×1101817641006² (a number of 25 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1380790 + ... + 2027366.

Almost surely, 2^{1101817641006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101817641006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260850376808).

1101817641006 is an abundant number, since it is smaller than the sum of its proper divisors (1419883112610).

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

1101817641006 is a wasteful number, since it uses less digits than its factorization.

1101817641006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646815 (or 646806 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1101817641006 in words is "one trillion, one hundred one billion, eight hundred seventeen million, six hundred forty-one thousand, six".