16257883606146 has 768 divisors, whose sum is σ = 48529248768000. Its totient is φ = 3813288192000.

The previous prime is 16257883606061. The next prime is 16257883606147. The reversal of 16257883606146 is 64160638875261.

16257883606146 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 7 + 8 + 8 + 3 + 6 + 0 + 614 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (16257883606147) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9741091800 + ... + 9741093468.

It is an arithmetic number, because the mean of its divisors is an integer number (63189126000).

Almost surely, 2^{16257883606146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16257883606146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264624384000).

16257883606146 is an abundant number, since it is smaller than the sum of its proper divisors (32271365161854).

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

16257883606146 is a wasteful number, since it uses less digits than its factorization.

16257883606146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 16257883606146 in words is "sixteen trillion, two hundred fifty-seven billion, eight hundred eighty-three million, six hundred six thousand, one hundred forty-six".