13911214192128 has 800 divisors, whose sum is σ = 48774938382720. Its totient is φ = 3900172861440.

The previous prime is 13911214192067. The next prime is 13911214192151. The reversal of 13911214192128 is 82129141211931.

13911214192128 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 12 + 1 + 419 + 212 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 457545375 + ... + 457575777.

Almost surely, 2^{13911214192128} is an apocalyptic number.

13911214192128 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 13911214192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24387469191360).

13911214192128 is an abundant number, since it is smaller than the sum of its proper divisors (34863724190592).

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

13911214192128 is a wasteful number, since it uses less digits than its factorization.

13911214192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30520 (or 30495 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The spelling of 13911214192128 in words is "thirteen trillion, nine hundred eleven billion, two hundred fourteen million, one hundred ninety-two thousand, one hundred twenty-eight".