11346106016 has 144 divisors (see below), whose sum is σ = 26620513920. Its totient is φ = 4744696320.

The previous prime is 11346106003. The next prime is 11346106021. The reversal of 11346106016 is 61060164311.

It is a super-2 number, since 2×11346106016² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11346106016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25845125 + ... + 25845563.

It is an arithmetic number, because the mean of its divisors is an integer number (184864680).

Almost surely, 2^11346106016 is an apocalyptic number.

11346106016 is a gapful number since it is divisible by the number (16) 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 11346106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310256960).

11346106016 is an abundant number, since it is smaller than the sum of its proper divisors (15274407904).

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

11346106016 is a wasteful number, since it uses less digits than its factorization.

11346106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 11346106016 in words is "eleven billion, three hundred forty-six million, one hundred six thousand, sixteen".