16451503606440 has 576 divisors, whose sum is σ = 62515368723600. Its totient is φ = 3741131390976.

The previous prime is 16451503606429. The next prime is 16451503606441. The reversal of 16451503606440 is 4460630515461.

16451503606440 is a `hidden beast` number, since 1 + 6 + 4 + 515 + 0 + 36 + 0 + 64 + 40 = 666.

16451503606440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8405465011524 + 8046038594916 = 2899218^2 + 2836554^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16451503606441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3025839402 + ... + 3025844838.

Almost surely, 2^{16451503606440} is an apocalyptic number.

16451503606440 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 16451503606440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31257684361800).

16451503606440 is an abundant number, since it is smaller than the sum of its proper divisors (46063865117160).

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

16451503606440 is a wasteful number, since it uses less digits than its factorization.

16451503606440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 16451503606440 in words is "sixteen trillion, four hundred fifty-one billion, five hundred three million, six hundred six thousand, four hundred forty".