438027751712061 has 48 divisors (see below), whose sum is σ = 733539471575040. Its totient is φ = 246688151058720.

The previous prime is 438027751712039. The next prime is 438027751712071. The reversal of 438027751712061 is 160217157720834.

438027751712061 is a `hidden beast` number, since 4 + 3 + 80 + 27 + 7 + 517 + 1 + 20 + 6 + 1 = 666.

It is not a de Polignac number, because 438027751712061 - 2¹⁷ = 438027751580989 is a prime.

It is a super-2 number, since 2×438027751712061² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 438027751711989 and 438027751712007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438027751712071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4930441 + ... + 30006078.

It is an arithmetic number, because the mean of its divisors is an integer number (15282072324480).

Almost surely, 2^{438027751712061} is an apocalyptic number.

It is an amenable number.

438027751712061 is a deficient number, since it is larger than the sum of its proper divisors (295511719862979).

438027751712061 is a wasteful number, since it uses less digits than its factorization.

438027751712061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34939406 (or 34939403 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 438027751712061 in words is "four hundred thirty-eight trillion, twenty-seven billion, seven hundred fifty-one million, seven hundred twelve thousand, sixty-one".