14007135001338 has 24 divisors (see below), whose sum is σ = 30348870084000. Its totient is φ = 4669033064904.

The previous prime is 14007135001303. The next prime is 14007135001373. The reversal of 14007135001338 is 83310053170041.

14007135001338 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 7 + 13 + 500 + 133 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14007135001303) and next prime (14007135001373).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8905813 + ... + 10359911.

It is an arithmetic number, because the mean of its divisors is an integer number (1264536253500).

Almost surely, 2^{14007135001338} is an apocalyptic number.

14007135001338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14007135001338 is an abundant number, since it is smaller than the sum of its proper divisors (16341735082662).

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

14007135001338 is a wasteful number, since it uses less digits than its factorization.

14007135001338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989266 (or 1989263 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 14007135001338 its reverse (83310053170041), we get a palindrome (97317188171379).

The spelling of 14007135001338 in words is "fourteen trillion, seven billion, one hundred thirty-five million, one thousand, three hundred thirty-eight".