1111331203164 has 288 divisors, whose sum is σ = 3799427385600. Its totient is φ = 277671784320.

The previous prime is 1111331203163. The next prime is 1111331203187. The reversal of 1111331203164 is 4613021331111.

1111331203164 is a `hidden beast` number, since 1 + 1 + 11 + 331 + 2 + 0 + 316 + 4 = 666.

It is a super-2 number, since 2×1111331203164² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111331203163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 882019 + ... + 1732229.

It is an arithmetic number, because the mean of its divisors is an integer number (13192456200).

Almost surely, 2^{1111331203164} is an apocalyptic number.

1111331203164 is a gapful number since it is divisible by the number (14) 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 1111331203164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899713692800).

1111331203164 is an abundant number, since it is smaller than the sum of its proper divisors (2688096182436).

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

1111331203164 is a wasteful number, since it uses less digits than its factorization.

1111331203164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850270 (or 850255 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1111331203164 its reverse (4613021331111), we get a palindrome (5724352534275).

The spelling of 1111331203164 in words is "one trillion, one hundred eleven billion, three hundred thirty-one million, two hundred three thousand, one hundred sixty-four".