13882386131640 has 1024 divisors, whose sum is σ = 53815045939200. Its totient is φ = 3152867328000.

The previous prime is 13882386131639. The next prime is 13882386131681. The reversal of 13882386131640 is 4613168328831.

13882386131640 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 2 + 3 + 8 + 613 + 16 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2482985245 + ... + 2482990835.

It is an arithmetic number, because the mean of its divisors is an integer number (52553755800).

Almost surely, 2^{13882386131640} is an apocalyptic number.

13882386131640 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 13882386131640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26907522969600).

13882386131640 is an abundant number, since it is smaller than the sum of its proper divisors (39932659807560).

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

13882386131640 is a wasteful number, since it uses less digits than its factorization.

13882386131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 13882386131640 in words is "thirteen trillion, eight hundred eighty-two billion, three hundred eighty-six million, one hundred thirty-one thousand, six hundred forty".