1106215415316 has 576 divisors, whose sum is σ = 3455430451200. Its totient is φ = 305718105600.

The previous prime is 1106215415287. The next prime is 1106215415329. The reversal of 1106215415316 is 6135145126011.

1106215415316 is a `hidden beast` number, since 1 + 1 + 0 + 62 + 1 + 541 + 53 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1694050846 + ... + 1694051498.

It is an arithmetic number, because the mean of its divisors is an integer number (5999011200).

Almost surely, 2^{1106215415316} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106215415316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727715225600).

1106215415316 is an abundant number, since it is smaller than the sum of its proper divisors (2349215035884).

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

1106215415316 is a wasteful number, since it uses less digits than its factorization.

1106215415316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1106215415316 in words is "one trillion, one hundred six billion, two hundred fifteen million, four hundred fifteen thousand, three hundred sixteen".