1106184272004 has 192 divisors, whose sum is σ = 3499625902080. Its totient is φ = 295280536320.

The previous prime is 1106184271957. The next prime is 1106184272113. The reversal of 1106184272004 is 4002724816011.

It is a happy number.

1106184272004 is a `hidden beast` number, since 1 + 10 + 6 + 18 + 427 + 200 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1106184272004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7944 + ... + 1487424.

It is an arithmetic number, because the mean of its divisors is an integer number (18227218240).

Almost surely, 2^{1106184272004} is an apocalyptic number.

1106184272004 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 1106184272004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749812951040).

1106184272004 is an abundant number, since it is smaller than the sum of its proper divisors (2393441630076).

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

1106184272004 is a wasteful number, since it uses less digits than its factorization.

1106184272004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479567 (or 1479559 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1106184272004 in words is "one trillion, one hundred six billion, one hundred eighty-four million, two hundred seventy-two thousand, four".