16814118479040 has 672 divisors, whose sum is σ = 61200749937600. Its totient is φ = 4225286799360.

The previous prime is 16814118478967. The next prime is 16814118479047. The reversal of 16814118479040 is 4097481141861.

16814118479040 is a `hidden beast` number, since 1 + 6 + 8 + 14 + 118 + 479 + 0 + 40 = 666.

16814118479040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16814118479047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10450041756 + ... + 10450043364.

It is an arithmetic number, because the mean of its divisors is an integer number (91072544550).

Almost surely, 2^{16814118479040} is an apocalyptic number.

16814118479040 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 16814118479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600374968800).

16814118479040 is an abundant number, since it is smaller than the sum of its proper divisors (44386631458560).

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

16814118479040 is a wasteful number, since it uses less digits than its factorization.

16814118479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 16814118479040 in words is "sixteen trillion, eight hundred fourteen billion, one hundred eighteen million, four hundred seventy-nine thousand, forty".