12814020620544 has 864 divisors, whose sum is σ = 42356873002752. Its totient is φ = 3409639833600.

The previous prime is 12814020620519. The next prime is 12814020620549. The reversal of 12814020620544 is 44502602041821.

12814020620544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12814020620549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5473736814 + ... + 5473739154.

It is an arithmetic number, because the mean of its divisors is an integer number (49024158568).

Almost surely, 2^{12814020620544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12814020620544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21178436501376).

12814020620544 is an abundant number, since it is smaller than the sum of its proper divisors (29542852382208).

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

12814020620544 is a wasteful number, since it uses less digits than its factorization.

12814020620544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 12814020620544 in words is "twelve trillion, eight hundred fourteen billion, twenty million, six hundred twenty thousand, five hundred forty-four".