13638042980352 has 832 divisors, whose sum is σ = 49210794086400. Its totient is φ = 3691177869312.

The previous prime is 13638042980347. The next prime is 13638042980357. The reversal of 13638042980352 is 25308924083631.

13638042980352 is a `hidden beast` number, since 1 + 3 + 63 + 80 + 429 + 80 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13638042980347) and next prime (13638042980357).

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 (13638042980357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1191401893 + ... + 1191413339.

Almost surely, 2^{13638042980352} is an apocalyptic number.

13638042980352 is a gapful number since it is divisible by the number (12) 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 13638042980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605397043200).

13638042980352 is an abundant number, since it is smaller than the sum of its proper divisors (35572751106048).

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

13638042980352 is an frugal number, since it uses more digits than its factorization.

13638042980352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13638042980352 in words is "thirteen trillion, six hundred thirty-eight billion, forty-two million, nine hundred eighty thousand, three hundred fifty-two".