16014974976000 has 4896 divisors, whose sum is σ = 81453299106816. Its totient is φ = 2972712960000.

The previous prime is 16014974975999. The next prime is 16014974976019. The reversal of 16014974976000 is 67947941061.

16014974976000 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 4 + 97 + 497 + 60 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 516612095985 + ... + 516612096015.

Almost surely, 2^{16014974976000} is an apocalyptic number.

16014974976000 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 16014974976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40726649553408).

16014974976000 is an abundant number, since it is smaller than the sum of its proper divisors (65438324130816).

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

16014974976000 is a wasteful number, since it uses less digits than its factorization.

16014974976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 16014974976000 in words is "sixteen trillion, fourteen billion, nine hundred seventy-four million, nine hundred seventy-six thousand".