1646959816128 has 224 divisors, whose sum is σ = 5115876634368. Its totient is φ = 462020198400.

The previous prime is 1646959816127. The next prime is 1646959816129. The reversal of 1646959816128 is 8216189596461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1646959816127) and next prime (1646959816129).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1646959816123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1814151 + ... + 2566137.

Almost surely, 2^{1646959816128} 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 1646959816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557938317184).

1646959816128 is an abundant number, since it is smaller than the sum of its proper divisors (3468916818240).

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

1646959816128 is a wasteful number, since it uses less digits than its factorization.

1646959816128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752091 (or 752081 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 66.

The spelling of 1646959816128 in words is "one trillion, six hundred forty-six billion, nine hundred fifty-nine million, eight hundred sixteen thousand, one hundred twenty-eight".