1631662066944 has 648 divisors, whose sum is σ = 6083812879872. Its totient is φ = 416435281920.

The previous prime is 1631662066933. The next prime is 1631662066961. The reversal of 1631662066944 is 4496602661361.

1631662066944 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 6 + 620 + 6 + 6 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×1631662066944² (a number of 25 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 71 ways as a sum of consecutive naturals, for example, 45479157 + ... + 45515019.

Almost surely, 2^{1631662066944} is an apocalyptic number.

1631662066944 is a gapful number since it is divisible by the number (14) 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 1631662066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041906439936).

1631662066944 is an abundant number, since it is smaller than the sum of its proper divisors (4452150812928).

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

1631662066944 is a wasteful number, since it uses less digits than its factorization.

1631662066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35943 (or 35919 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 1631662066944 in words is "one trillion, six hundred thirty-one billion, six hundred sixty-two million, sixty-six thousand, nine hundred forty-four".