11296464192 has 168 divisors, whose sum is σ = 36073095240. Its totient is φ = 3355914240.

The previous prime is 11296464169. The next prime is 11296464203. The reversal of 11296464192 is 29146469211.

11296464192 is a `hidden beast` number, since 1 + 12 + 96 + 464 + 1 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 452157696 + 10844306496 = 21264^2 + 104136^2 .

It is a super-2 number, since 2×11296464192² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191142 + ... + 243162.

It is an arithmetic number, because the mean of its divisors is an integer number (214720805).

Almost surely, 2^11296464192 is an apocalyptic number.

11296464192 is a gapful number since it is divisible by the number (12) 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 11296464192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036547620).

11296464192 is an abundant number, since it is smaller than the sum of its proper divisors (24776631048).

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

11296464192 is a wasteful number, since it uses less digits than its factorization.

11296464192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52081 (or 52068 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 11296464192 in words is "eleven billion, two hundred ninety-six million, four hundred sixty-four thousand, one hundred ninety-two".