16461860452128 has 2016 divisors, whose sum is σ = 63563339661696. Its totient is φ = 4083984064512.

The previous prime is 16461860452099. The next prime is 16461860452207. The reversal of 16461860452128 is 82125406816461.

16461860452128 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 1 + 8 + 60 + 452 + 128 = 666.

16461860452128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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 335 ways as a sum of consecutive naturals, for example, 120159565276 + ... + 120159565412.

It is an arithmetic number, because the mean of its divisors is an integer number (31529434356).

Almost surely, 2^{16461860452128} is an apocalyptic number.

16461860452128 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 16461860452128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31781669830848).

16461860452128 is an abundant number, since it is smaller than the sum of its proper divisors (47101479209568).

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

16461860452128 is a wasteful number, since it uses less digits than its factorization.

16461860452128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 16461860452128 in words is "sixteen trillion, four hundred sixty-one billion, eight hundred sixty million, four hundred fifty-two thousand, one hundred twenty-eight".