11046316366100 has 288 divisors, whose sum is σ = 26307116236800. Its totient is φ = 4010015116800.

The previous prime is 11046316366049. The next prime is 11046316366117. The reversal of 11046316366100 is 166361364011.

It is a super-2 number, since 2×11046316366100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4872657167 + ... + 4872659433.

It is an arithmetic number, because the mean of its divisors is an integer number (91344153600).

Almost surely, 2^{11046316366100} is an apocalyptic number.

11046316366100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11046316366100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153558118400).

11046316366100 is an abundant number, since it is smaller than the sum of its proper divisors (15260799870700).

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

11046316366100 is a wasteful number, since it uses less digits than its factorization.

11046316366100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 11046316366100 in words is "eleven trillion, forty-six billion, three hundred sixteen million, three hundred sixty-six thousand, one hundred".