11238953408568 has 24 divisors (see below), whose sum is σ = 30438832148400. Its totient is φ = 3746317802832.

The previous prime is 11238953408561. The next prime is 11238953408693. The reversal of 11238953408568 is 86580435983211.

11238953408568 is a `hidden beast` number, since 1 + 1 + 2 + 38 + 9 + 5 + 34 + 0 + 8 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11238953408561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78048287488 + ... + 78048287631.

It is an arithmetic number, because the mean of its divisors is an integer number (1268284672850).

Almost surely, 2^{11238953408568} is an apocalyptic number.

11238953408568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11238953408568 is an abundant number, since it is smaller than the sum of its proper divisors (19199878739832).

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

11238953408568 is a wasteful number, since it uses less digits than its factorization.

11238953408568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156096575131 (or 156096575124 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 11238953408568 in words is "eleven trillion, two hundred thirty-eight billion, nine hundred fifty-three million, four hundred eight thousand, five hundred sixty-eight".