12814109854560 has 384 divisors, whose sum is σ = 51281824204800. Its totient is φ = 2927488849920.

The previous prime is 12814109854519. The next prime is 12814109854573. The reversal of 12814109854560 is 6545890141821.

12814109854560 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 4 + 1 + 0 + 98 + 545 + 6 + 0 = 666.

12814109854560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12814109854560² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12814109854497 and 12814109854506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61555450 + ... + 61763270.

It is an arithmetic number, because the mean of its divisors is an integer number (133546417200).

Almost surely, 2^{12814109854560} is an apocalyptic number.

12814109854560 is a gapful number since it is divisible by the number (10) 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 12814109854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25640912102400).

12814109854560 is an abundant number, since it is smaller than the sum of its proper divisors (38467714350240).

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

12814109854560 is a wasteful number, since it uses less digits than its factorization.

12814109854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209891 (or 209877 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 12814109854560 in words is "twelve trillion, eight hundred fourteen billion, one hundred nine million, eight hundred fifty-four thousand, five hundred sixty".