16525648833408 has 1280 divisors, whose sum is σ = 61188515942400. Its totient is φ = 4352668876800.

The previous prime is 16525648833403. The next prime is 16525648833461. The reversal of 16525648833408 is 80433884652561.

16525648833408 is a `hidden beast` number, since 1 + 6 + 5 + 256 + 48 + 8 + 334 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16525648833403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4873383393 + ... + 4873386783.

It is an arithmetic number, because the mean of its divisors is an integer number (47803528080).

Almost surely, 2^{16525648833408} is an apocalyptic number.

16525648833408 is a gapful number since it is divisible by the number (18) 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 16525648833408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30594257971200).

16525648833408 is an abundant number, since it is smaller than the sum of its proper divisors (44662867108992).

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

16525648833408 is a wasteful number, since it uses less digits than its factorization.

16525648833408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 16525648833408 in words is "sixteen trillion, five hundred twenty-five billion, six hundred forty-eight million, eight hundred thirty-three thousand, four hundred eight".