338984392471661 has 12 divisors (see below), whose sum is σ = 341268293936724. Its totient is φ = 336709972704000.

The previous prime is 338984392471619. The next prime is 338984392471691. The reversal of 338984392471661 is 166174293489833.

It can be written as a sum of positive squares in 6 ways, for example, as 10997116116100 + 327987276355561 = 3316190^2 + 18110419^2 .

It is not a de Polignac number, because 338984392471661 - 2¹⁴ = 338984392455277 is a prime.

It is a super-3 number, since 3×338984392471661³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338984392471691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31820711 + ... + 41116011.

It is an arithmetic number, because the mean of its divisors is an integer number (28439024494727).

Almost surely, 2^{338984392471661} is an apocalyptic number.

It is an amenable number.

338984392471661 is a deficient number, since it is larger than the sum of its proper divisors (2283901465063).

338984392471661 is an frugal number, since it uses more digits than its factorization.

338984392471661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296320 (or 9295931 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 74.

The spelling of 338984392471661 in words is "three hundred thirty-eight trillion, nine hundred eighty-four billion, three hundred ninety-two million, four hundred seventy-one thousand, six hundred sixty-one".