11385495890496 has 168 divisors, whose sum is σ = 40165499576384. Its totient is φ = 3002768133120.

The previous prime is 11385495890467. The next prime is 11385495890497. The reversal of 11385495890496 is 69409859458311.

11385495890496 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 5 + 49 + 5 + 8 + 90 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11385495890497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108554650 + ... + 108659481.

Almost surely, 2^{11385495890496} is an apocalyptic number.

11385495890496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11385495890496 is an abundant number, since it is smaller than the sum of its proper divisors (28780003685888).

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

11385495890496 is a wasteful number, since it uses less digits than its factorization.

11385495890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217214169 (or 217214156 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 11385495890496 in words is "eleven trillion, three hundred eighty-five billion, four hundred ninety-five million, eight hundred ninety thousand, four hundred ninety-six".