11171264346 has 96 divisors (see below), whose sum is σ = 27297054720. Its totient is φ = 3271168800.

The previous prime is 11171264329. The next prime is 11171264347. The reversal of 11171264346 is 64346217111.

11171264346 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 1 + 2 + 643 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11171264346.

It is not an unprimeable number, because it can be changed into a prime (11171264347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7849791 + ... + 7851213.

It is an arithmetic number, because the mean of its divisors is an integer number (284344320).

Almost surely, 2^11171264346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11171264346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13648527360).

11171264346 is an abundant number, since it is smaller than the sum of its proper divisors (16125790374).

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

11171264346 is a wasteful number, since it uses less digits than its factorization.

11171264346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2749 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 11171264346 in words is "eleven billion, one hundred seventy-one million, two hundred sixty-four thousand, three hundred forty-six".