11246796228096 has 2560 divisors, whose sum is σ = 44032381747200. Its totient is φ = 2780070543360.

The previous prime is 11246796228029. The next prime is 11246796228103. The reversal of 11246796228096 is 69082269764211.

11246796228096 is a `hidden beast` number, since 1 + 1 + 2 + 467 + 9 + 6 + 2 + 2 + 80 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40602152310 + ... + 40602152586.

It is an arithmetic number, because the mean of its divisors is an integer number (17200149120).

Almost surely, 2^{11246796228096} is an apocalyptic number.

11246796228096 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 11246796228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016190873600).

11246796228096 is an abundant number, since it is smaller than the sum of its proper divisors (32785585519104).

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

11246796228096 is a wasteful number, since it uses less digits than its factorization.

11246796228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 11246796228096 in words is "eleven trillion, two hundred forty-six billion, seven hundred ninety-six million, two hundred twenty-eight thousand, ninety-six".