481116278151 has 16 divisors (see below), whose sum is σ = 724845619200. Its totient is φ = 315307842264.

The previous prime is 481116278119. The next prime is 481116278189. The reversal of 481116278151 is 151872611184.

It is a happy number.

481116278151 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 1 + 627 + 8 + 15 + 1 = 666.

It is not a de Polignac number, because 481116278151 - 2⁵ = 481116278119 is a prime.

It is a super-3 number, since 3×481116278151³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 481116278097 and 481116278106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481116278351) 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 15 ways as a sum of consecutive naturals, for example, 151007911 + ... + 151011096.

It is an arithmetic number, because the mean of its divisors is an integer number (45302851200).

Almost surely, 2^481116278151 is an apocalyptic number.

481116278151 is a deficient number, since it is larger than the sum of its proper divisors (243729341049).

481116278151 is a wasteful number, since it uses less digits than its factorization.

481116278151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302019075 (or 302019069 counting only the distinct ones).

The product of its digits is 107520, while the sum is 45.

The spelling of 481116278151 in words is "four hundred eighty-one billion, one hundred sixteen million, two hundred seventy-eight thousand, one hundred fifty-one".