2164994417664 has 693 divisors, whose sum is σ = 7080426776649. Its totient is φ = 661066997760.

The previous prime is 2164994417623. The next prime is 2164994417683. The reversal of 2164994417664 is 4667144994612.

The square root of 2164994417664 is 1471392.

It is a perfect power (a square), and thus also a powerful number.

2164994417664 is a `hidden beast` number, since 2 + 1 + 64 + 9 + 9 + 441 + 76 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 320265446400 + 1844728971264 = 565920^2 + 1358208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16526674879 + ... + 16526675009.

Almost surely, 2^{2164994417664} is an apocalyptic number.

2164994417664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2164994417664 is the 1471392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164994417664

2164994417664 is an abundant number, since it is smaller than the sum of its proper divisors (4915432358985).

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

2164994417664 is an frugal number, since it uses more digits than its factorization.

2164994417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 149 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 2164994417664 in words is "two trillion, one hundred sixty-four billion, nine hundred ninety-four million, four hundred seventeen thousand, six hundred sixty-four".