14115549977000 has 128 divisors (see below), whose sum is σ = 34771387622400. Its totient is φ = 5348656800000.

The previous prime is 14115549976999. The next prime is 14115549977003. The reversal of 14115549977000 is 77994551141.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14115549977003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478462250 + ... + 478491750.

It is an arithmetic number, because the mean of its divisors is an integer number (271651465800).

Almost surely, 2^{14115549977000} is an apocalyptic number.

14115549977000 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 14115549977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385693811200).

14115549977000 is an abundant number, since it is smaller than the sum of its proper divisors (20655837645400).

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

14115549977000 is a wasteful number, since it uses less digits than its factorization.

14115549977000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54724 (or 54710 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 53.

The spelling of 14115549977000 in words is "fourteen trillion, one hundred fifteen billion, five hundred forty-nine million, nine hundred seventy-seven thousand".