11432713863168 has 720 divisors, whose sum is σ = 38507348496960. Its totient is φ = 3332007788544.

The previous prime is 11432713863083. The next prime is 11432713863173. The reversal of 11432713863168 is 86136831723411.

11432713863168 is a `hidden beast` number, since 1 + 1 + 4 + 32 + 71 + 386 + 3 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076030271 + ... + 2076035777.

It is an arithmetic number, because the mean of its divisors is an integer number (53482428468).

Almost surely, 2^{11432713863168} is an apocalyptic number.

11432713863168 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 11432713863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253674248480).

11432713863168 is an abundant number, since it is smaller than the sum of its proper divisors (27074634633792).

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

11432713863168 is an equidigital number, since it uses as much as digits as its factorization.

11432713863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595 (or 5544 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 11432713863168 in words is "eleven trillion, four hundred thirty-two billion, seven hundred thirteen million, eight hundred sixty-three thousand, one hundred sixty-eight".