38401146680281 has 32 divisors (see below), whose sum is σ = 51092191936512. Its totient is φ = 27941042223360.

The previous prime is 38401146680261. The next prime is 38401146680339. The reversal of 38401146680281 is 18208664110483.

It is not a de Polignac number, because 38401146680281 - 2¹⁹ = 38401146155993 is a prime.

It is a super-2 number, since 2×38401146680281² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38401146680231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115330791 + ... + 115663276.

It is an arithmetic number, because the mean of its divisors is an integer number (1596630998016).

Almost surely, 2^{38401146680281} is an apocalyptic number.

It is an amenable number.

38401146680281 is a deficient number, since it is larger than the sum of its proper divisors (12691045256231).

38401146680281 is a wasteful number, since it uses less digits than its factorization.

38401146680281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230994229.

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 38401146680281 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-six million, six hundred eighty thousand, two hundred eighty-one".