1011116010164 has 48 divisors (see below), whose sum is σ = 1971769882320. Its totient is φ = 450463534080.

The previous prime is 1011116010143. The next prime is 1011116010173. The reversal of 1011116010164 is 4610106111101.

It can be written as a sum of positive squares in 8 ways, for example, as 105748536100 + 905367474064 = 325190^2 + 951508^2 .

It is a super-3 number, since 3×1011116010164³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6059774 + ... + 6224394.

It is an arithmetic number, because the mean of its divisors is an integer number (41078539215).

Almost surely, 2^{1011116010164} is an apocalyptic number.

It is an amenable number.

1011116010164 is a deficient number, since it is larger than the sum of its proper divisors (960653872156).

1011116010164 is a wasteful number, since it uses less digits than its factorization.

1011116010164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168740 (or 168738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 1011116010164 in words is "one trillion, eleven billion, one hundred sixteen million, ten thousand, one hundred sixty-four".