14638939031808 has 864 divisors, whose sum is σ = 54902186008320. Its totient is φ = 3860725026816.

The previous prime is 14638939031803. The next prime is 14638939031833. The reversal of 14638939031808 is 80813093983641.

14638939031808 is a `hidden beast` number, since 1 + 4 + 63 + 8 + 9 + 390 + 3 + 180 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (14638939031803) 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, 356617941 + ... + 356658987.

Almost surely, 2^{14638939031808} is an apocalyptic number.

14638939031808 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 14638939031808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27451093004160).

14638939031808 is an abundant number, since it is smaller than the sum of its proper divisors (40263246976512).

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

14638939031808 is an frugal number, since it uses more digits than its factorization.

14638939031808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41111 (or 41072 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 14638939031808 in words is "fourteen trillion, six hundred thirty-eight billion, nine hundred thirty-nine million, thirty-one thousand, eight hundred eight".