16514195675460 has 288 divisors, whose sum is σ = 55190131476480. Its totient is φ = 3676833844992.

The previous prime is 16514195675429. The next prime is 16514195675473. The reversal of 16514195675460 is 6457659141561.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 16514195675394 and 16514195675403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46218171 + ... + 46574109.

It is an arithmetic number, because the mean of its divisors is an integer number (191632400960).

Almost surely, 2^{16514195675460} is an apocalyptic number.

16514195675460 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 16514195675460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595065738240).

16514195675460 is an abundant number, since it is smaller than the sum of its proper divisors (38675935801020).

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

16514195675460 is a wasteful number, since it uses less digits than its factorization.

16514195675460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356375 (or 356366 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 60.

The spelling of 16514195675460 in words is "sixteen trillion, five hundred fourteen billion, one hundred ninety-five million, six hundred seventy-five thousand, four hundred sixty".