11468955172608 has 360 divisors, whose sum is σ = 36053268295968. Its totient is φ = 3619055075328.

The previous prime is 11468955172603. The next prime is 11468955172627. The reversal of 11468955172608 is 80627155986411.

11468955172608 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 8 + 9 + 5 + 5 + 17 + 2 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468955172603) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46138060 + ... + 46385972.

Almost surely, 2^{11468955172608} is an apocalyptic number.

11468955172608 is a gapful number since it is divisible by the number (18) 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 11468955172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026634147984).

11468955172608 is an abundant number, since it is smaller than the sum of its proper divisors (24584313123360).

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

11468955172608 is an equidigital number, since it uses as much as digits as its factorization.

11468955172608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248061 (or 248038 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 11468955172608 in words is "eleven trillion, four hundred sixty-eight billion, nine hundred fifty-five million, one hundred seventy-two thousand, six hundred eight".