1664165932416 has 384 divisors, whose sum is σ = 5317668195840. Its totient is φ = 496299847680.

The previous prime is 1664165932409. The next prime is 1664165932519. The reversal of 1664165932416 is 6142395614661.

1664165932416 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 1 + 6 + 593 + 2 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1664165932416² (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 47 ways as a sum of consecutive naturals, for example, 84349945 + ... + 84369671.

It is an arithmetic number, because the mean of its divisors is an integer number (13848094260).

Almost surely, 2^{1664165932416} is an apocalyptic number.

1664165932416 is a gapful number since it is divisible by the number (16) 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 1664165932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658834097920).

1664165932416 is an abundant number, since it is smaller than the sum of its proper divisors (3653502263424).

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

1664165932416 is a wasteful number, since it uses less digits than its factorization.

1664165932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19934 (or 19919 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1664165932416 in words is "one trillion, six hundred sixty-four billion, one hundred sixty-five million, nine hundred thirty-two thousand, four hundred sixteen".