1668635464956 has 96 divisors (see below), whose sum is σ = 4041582720000. Its totient is φ = 535188342528.

The previous prime is 1668635464949. The next prime is 1668635464957. The reversal of 1668635464956 is 6594645368661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668635464957) 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, 322938285 + ... + 322943451.

It is an arithmetic number, because the mean of its divisors is an integer number (42099820000).

Almost surely, 2^{1668635464956} 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 1668635464956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020791360000).

1668635464956 is an abundant number, since it is smaller than the sum of its proper divisors (2372947255044).

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

1668635464956 is a wasteful number, since it uses less digits than its factorization.

1668635464956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8211 (or 8209 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 69.

The spelling of 1668635464956 in words is "one trillion, six hundred sixty-eight billion, six hundred thirty-five million, four hundred sixty-four thousand, nine hundred fifty-six".