16412641625016 has 384 divisors, whose sum is σ = 55745903041920. Its totient is φ = 4247168090112.

The previous prime is 16412641624987. The next prime is 16412641625027. The reversal of 16412641625016 is 61052614621461.

16412641625016 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 2 + 6 + 4 + 1 + 625 + 0 + 16 = 666.

It is a super-2 number, since 2×16412641625016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 92222230 + ... + 92400026.

It is an arithmetic number, because the mean of its divisors is an integer number (145171622505).

Almost surely, 2^{16412641625016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16412641625016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27872951520960).

16412641625016 is an abundant number, since it is smaller than the sum of its proper divisors (39333261416904).

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

16412641625016 is a wasteful number, since it uses less digits than its factorization.

16412641625016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178095 (or 178088 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16412641625016 in words is "sixteen trillion, four hundred twelve billion, six hundred forty-one million, six hundred twenty-five thousand, sixteen".