16314576048540 has 288 divisors, whose sum is σ = 61710229002240. Its totient is φ = 3389411635200.

The previous prime is 16314576048521. The next prime is 16314576048601. The reversal of 16314576048540 is 4584067541361.

16314576048540 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 4 + 57 + 6 + 0 + 48 + 540 = 666.

It is a super-2 number, since 2×16314576048540² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76386700 + ... + 76599980.

It is an arithmetic number, because the mean of its divisors is an integer number (214271628480).

Almost surely, 2^{16314576048540} is an apocalyptic number.

16314576048540 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 16314576048540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855114501120).

16314576048540 is an abundant number, since it is smaller than the sum of its proper divisors (45395652953700).

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

16314576048540 is a wasteful number, since it uses less digits than its factorization.

16314576048540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218833 (or 218828 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 16314576048540 in words is "sixteen trillion, three hundred fourteen billion, five hundred seventy-six million, forty-eight thousand, five hundred forty".