481945436918055 has 160 divisors (see below), whose sum is σ = 999571063030848. Its totient is φ = 219559237632000.

The previous prime is 481945436918041. The next prime is 481945436918093. The reversal of 481945436918055 is 550819634549184.

481945436918055 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 4 + 5 + 436 + 9 + 180 + 5 + 5 = 666.

It is not a de Polignac number, because 481945436918055 - 2⁹ = 481945436917543 is a prime.

It is a super-2 number, since 2×481945436918055² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40222579 + ... + 50810891.

Almost surely, 2^{481945436918055} is an apocalyptic number.

481945436918055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

481945436918055 is an abundant number, since it is smaller than the sum of its proper divisors (517625626112793).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481945436918055 is a wasteful number, since it uses less digits than its factorization.

481945436918055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588959 (or 10588950 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 481945436918055 in words is "four hundred eighty-one trillion, nine hundred forty-five billion, four hundred thirty-six million, nine hundred eighteen thousand, fifty-five".