394002268416 has 189 divisors, whose sum is σ = 1179970876749. Its totient is φ = 131243701248.

The previous prime is 394002268399. The next prime is 394002268417. The reversal of 394002268416 is 614862200493.

The square root of 394002268416 is 627696.

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

394002268416 is a `hidden beast` number, since 3 + 9 + 4 + 0 + 0 + 226 + 8 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 384300806400 + 9701462016 = 619920^2 + 98496^2 .

It is a super-2 number, since 2×394002268416² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (394002268417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 271163946 + ... + 271165398.

Almost surely, 2^394002268416 is an apocalyptic number.

394002268416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

394002268416 is the 627696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394002268416

394002268416 is an abundant number, since it is smaller than the sum of its proper divisors (785968608333).

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

394002268416 is an frugal number, since it uses more digits than its factorization.

394002268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 394002268416 in words is "three hundred ninety-four billion, two million, two hundred sixty-eight thousand, four hundred sixteen".