338655078711 has 128 divisors (see below), whose sum is σ = 565281607680. Its totient is φ = 199264665600.

The previous prime is 338655078689. The next prime is 338655078733. The reversal of 338655078711 is 117870556833.

338655078711 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 550 + 7 + 87 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (338655078689) and next prime (338655078733).

It is not a de Polignac number, because 338655078711 - 2⁷ = 338655078583 is a prime.

It is a super-2 number, since 2×338655078711² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338655078761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144661401 + ... + 144663741.

It is an arithmetic number, because the mean of its divisors is an integer number (4416262560).

Almost surely, 2^338655078711 is an apocalyptic number.

338655078711 is a deficient number, since it is larger than the sum of its proper divisors (226626528969).

338655078711 is a wasteful number, since it uses less digits than its factorization.

338655078711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 338655078711 in words is "three hundred thirty-eight billion, six hundred fifty-five million, seventy-eight thousand, seven hundred eleven".