11297434806000 has 720 divisors, whose sum is σ = 46967931904608. Its totient is φ = 2522209536000.

The previous prime is 11297434805971. The next prime is 11297434806001. The reversal of 11297434806000 is 60843479211.

11297434806000 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 7 + 4 + 34 + 8 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11297434806001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37777060 + ... + 38074940.

Almost surely, 2^{11297434806000} is an apocalyptic number.

11297434806000 is a gapful number since it is divisible by the number (10) 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 11297434806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23483965952304).

11297434806000 is an abundant number, since it is smaller than the sum of its proper divisors (35670497098608).

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

11297434806000 is a wasteful number, since it uses less digits than its factorization.

11297434806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297967 (or 297941 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11297434806000 in words is "eleven trillion, two hundred ninety-seven billion, four hundred thirty-four million, eight hundred six thousand".