1691066029968 has 960 divisors, whose sum is σ = 5932831703040. Its totient is φ = 459464140800.

The previous prime is 1691066029949. The next prime is 1691066029973. The reversal of 1691066029968 is 8699206601961.

1691066029968 is a `hidden beast` number, since 1 + 6 + 9 + 10 + 6 + 602 + 9 + 9 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8853748753 + ... + 8853748943.

It is an arithmetic number, because the mean of its divisors is an integer number (6180033024).

Almost surely, 2^{1691066029968} is an apocalyptic number.

1691066029968 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 1691066029968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966415851520).

1691066029968 is an abundant number, since it is smaller than the sum of its proper divisors (4241765673072).

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

1691066029968 is a wasteful number, since it uses less digits than its factorization.

1691066029968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 1691066029968 in words is "one trillion, six hundred ninety-one billion, sixty-six million, twenty-nine thousand, nine hundred sixty-eight".