13814667922122 has 128 divisors (see below), whose sum is σ = 31456733184000. Its totient is φ = 4491946368000.

The previous prime is 13814667922117. The next prime is 13814667922123. The reversal of 13814667922122 is 22122976641831.

It is a happy number.

13814667922122 is a `hidden beast` number, since 1 + 3 + 81 + 466 + 7 + 92 + 2 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13814667922123) 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 63 ways as a sum of consecutive naturals, for example, 959278122 + ... + 959292522.

It is an arithmetic number, because the mean of its divisors is an integer number (245755728000).

Almost surely, 2^{13814667922122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814667922122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728366592000).

13814667922122 is an abundant number, since it is smaller than the sum of its proper divisors (17642065261878).

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

13814667922122 is a wasteful number, since it uses less digits than its factorization.

13814667922122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15689 (or 15683 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 13814667922122 in words is "thirteen trillion, eight hundred fourteen billion, six hundred sixty-seven million, nine hundred twenty-two thousand, one hundred twenty-two".