13840642948608 has 2400 divisors, whose sum is σ = 53645373619200. Its totient is φ = 3526733758464.

The previous prime is 13840642948577. The next prime is 13840642948631. The reversal of 13840642948608 is 80684924604831.

13840642948608 is a `hidden beast` number, since 1 + 38 + 40 + 64 + 29 + 486 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52626018685 + ... + 52626018947.

It is an arithmetic number, because the mean of its divisors is an integer number (22352239008).

Almost surely, 2^{13840642948608} is an apocalyptic number.

13840642948608 is a gapful number since it is divisible by the number (18) 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 13840642948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26822686809600).

13840642948608 is an abundant number, since it is smaller than the sum of its proper divisors (39804730670592).

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

13840642948608 is a wasteful number, since it uses less digits than its factorization.

13840642948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 13840642948608 in words is "thirteen trillion, eight hundred forty billion, six hundred forty-two million, nine hundred forty-eight thousand, six hundred eight".