14001135011000 has 128 divisors (see below), whose sum is σ = 33918152112000. Its totient is φ = 5403226752000.

The previous prime is 14001135010997. The next prime is 14001135011081. The reversal of 14001135011000 is 11053110041.

It is a self number, because there is not a number n which added to its sum of digits gives 14001135011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38126261 + ... + 38491739.

It is an arithmetic number, because the mean of its divisors is an integer number (264985563375).

Almost surely, 2^{14001135011000} is an apocalyptic number.

14001135011000 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 14001135011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959076056000).

14001135011000 is an abundant number, since it is smaller than the sum of its proper divisors (19917017101000).

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

14001135011000 is a wasteful number, since it uses less digits than its factorization.

14001135011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366850 (or 366836 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 14001135011000 its reverse (11053110041), we get a palindrome (14012188121041).

The spelling of 14001135011000 in words is "fourteen trillion, one billion, one hundred thirty-five million, eleven thousand".