13211854463808 has 2352 divisors, whose sum is σ = 54313204064256. Its totient is φ = 3093583933440.

The previous prime is 13211854463791. The next prime is 13211854463881. The reversal of 13211854463808 is 80836445811231.

It is a happy number.

13211854463808 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 18 + 544 + 6 + 3 + 80 + 8 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 28535322585 + ... + 28535323047.

Almost surely, 2^{13211854463808} is an apocalyptic number.

13211854463808 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 13211854463808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27156602032128).

13211854463808 is an abundant number, since it is smaller than the sum of its proper divisors (41101349600448).

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

13211854463808 is a wasteful number, since it uses less digits than its factorization.

13211854463808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 13211854463808 in words is "thirteen trillion, two hundred eleven billion, eight hundred fifty-four million, four hundred sixty-three thousand, eight hundred eight".