11386123765896 has 192 divisors, whose sum is σ = 31271119277760. Its totient is φ = 3426274432000.

The previous prime is 11386123765879. The next prime is 11386123765897. The reversal of 11386123765896 is 69856732168311.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (11386123765897) 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, 9641086426 + ... + 9641087606.

It is an arithmetic number, because the mean of its divisors is an integer number (162870412905).

Almost surely, 2^{11386123765896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11386123765896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15635559638880).

11386123765896 is an abundant number, since it is smaller than the sum of its proper divisors (19884995511864).

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

11386123765896 is a wasteful number, since it uses less digits than its factorization.

11386123765896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2335 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 66.

The spelling of 11386123765896 in words is "eleven trillion, three hundred eighty-six billion, one hundred twenty-three million, seven hundred sixty-five thousand, eight hundred ninety-six".