14054063661000 has 768 divisors, whose sum is σ = 52235647027200. Its totient is φ = 3379912704000.

The previous prime is 14054063660981. The next prime is 14054063661031. The reversal of 14054063661000 is 16636045041.

It is a happy number.

14054063661000 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 4 + 0 + 6 + 36 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7439948056 + ... + 7439949944.

It is an arithmetic number, because the mean of its divisors is an integer number (68015165400).

Almost surely, 2^{14054063661000} is an apocalyptic number.

14054063661000 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 14054063661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26117823513600).

14054063661000 is an abundant number, since it is smaller than the sum of its proper divisors (38181583366200).

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

14054063661000 is a wasteful number, since it uses less digits than its factorization.

14054063661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14054063661000 in words is "fourteen trillion, fifty-four billion, sixty-three million, six hundred sixty-one thousand".