11670168234240 has 432 divisors, whose sum is σ = 43693625259648. Its totient is φ = 2976736739328.

The previous prime is 11670168234233. The next prime is 11670168234247. The reversal of 11670168234240 is 4243286107611.

11670168234240 is a `hidden beast` number, since 1 + 1 + 67 + 0 + 168 + 2 + 3 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11670168234233) and next prime (11670168234247).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (11670168234247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6338272 + ... + 7969568.

It is an arithmetic number, because the mean of its divisors is an integer number (101142651064).

Almost surely, 2^{11670168234240} is an apocalyptic number.

11670168234240 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 11670168234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21846812629824).

11670168234240 is an abundant number, since it is smaller than the sum of its proper divisors (32023457025408).

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

11670168234240 is an equidigital number, since it uses as much as digits as its factorization.

11670168234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631356 (or 1631330 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11670168234240 in words is "eleven trillion, six hundred seventy billion, one hundred sixty-eight million, two hundred thirty-four thousand, two hundred forty".