16514453975040 has 4680 divisors, whose sum is σ = 79086138333840. Its totient is φ = 3274740596736.

The previous prime is 16514453975039. The next prime is 16514453975051. The reversal of 16514453975040 is 4057935441561.

16514453975040 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 4 + 45 + 3 + 97 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 446336593902 + ... + 446336593938.

Almost surely, 2^{16514453975040} is an apocalyptic number.

16514453975040 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 16514453975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39543069166920).

16514453975040 is an abundant number, since it is smaller than the sum of its proper divisors (62571684358800).

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

16514453975040 is a wasteful number, since it uses less digits than its factorization.

16514453975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 16514453975040 in words is "sixteen trillion, five hundred fourteen billion, four hundred fifty-three million, nine hundred seventy-five thousand, forty".