11262814317678 has 256 divisors, whose sum is σ = 29110127616000. Its totient is φ = 2879230717440.

The previous prime is 11262814317673. The next prime is 11262814317701. The reversal of 11262814317678 is 87671341826211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11262814317673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2258432301 + ... + 2258437287.

It is an arithmetic number, because the mean of its divisors is an integer number (113711436000).

Almost surely, 2^{11262814317678} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11262814317678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555063808000).

11262814317678 is an abundant number, since it is smaller than the sum of its proper divisors (17847313298322).

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

11262814317678 is a wasteful number, since it uses less digits than its factorization.

11262814317678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6566 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The spelling of 11262814317678 in words is "eleven trillion, two hundred sixty-two billion, eight hundred fourteen million, three hundred seventeen thousand, six hundred seventy-eight".