481267647188415 has 80 divisors (see below), whose sum is σ = 886049671140480. Its totient is φ = 249734326417920.

The previous prime is 481267647188401. The next prime is 481267647188431. The reversal of 481267647188415 is 514881746762184.

481267647188415 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 6 + 7 + 64 + 71 + 88 + 415 = 666.

It is not a de Polignac number, because 481267647188415 - 2²¹ = 481267645091263 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 915755370 + ... + 916280760.

It is an arithmetic number, because the mean of its divisors is an integer number (11075620889256).

Almost surely, 2^{481267647188415} is an apocalyptic number.

481267647188415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

481267647188415 is a deficient number, since it is larger than the sum of its proper divisors (404782023952065).

481267647188415 is a wasteful number, since it uses less digits than its factorization.

481267647188415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586574 (or 586565 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 481267647188415 in words is "four hundred eighty-one trillion, two hundred sixty-seven billion, six hundred forty-seven million, one hundred eighty-eight thousand, four hundred fifteen".