13870983404106 has 128 divisors (see below), whose sum is σ = 31593554254080. Its totient is φ = 4509353721600.

The previous prime is 13870983404101. The next prime is 13870983404129. The reversal of 13870983404106 is 60140438907831.

13870983404106 is a `hidden beast` number, since 1 + 38 + 70 + 98 + 3 + 40 + 410 + 6 = 666.

13870983404106 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 (54).

It is not an unprimeable number, because it can be changed into a prime (13870983404101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1559759796 + ... + 1559768688.

It is an arithmetic number, because the mean of its divisors is an integer number (246824642610).

Almost surely, 2^{13870983404106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13870983404106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796777127040).

13870983404106 is an abundant number, since it is smaller than the sum of its proper divisors (17722570849974).

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

13870983404106 is a wasteful number, since it uses less digits than its factorization.

13870983404106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149 (or 12143 counting only the distinct ones).

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

The spelling of 13870983404106 in words is "thirteen trillion, eight hundred seventy billion, nine hundred eighty-three million, four hundred four thousand, one hundred six".