481969303969184 has 96 divisors (see below), whose sum is σ = 973245632929920. Its totient is φ = 234874496102400.

The previous prime is 481969303969129. The next prime is 481969303969187.

481969303969184 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 481969303969099 and 481969303969108.

It is not an unprimeable number, because it can be changed into a prime (481969303969187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033656419 + ... + 1034122589.

It is an arithmetic number, because the mean of its divisors is an integer number (10137975343020).

Almost surely, 2^{481969303969184} is an apocalyptic number.

It is an amenable number.

481969303969184 is an abundant number, since it is smaller than the sum of its proper divisors (491276328960736).

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

481969303969184 is a wasteful number, since it uses less digits than its factorization.

481969303969184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471454 (or 471446 counting only the distinct ones).

The product of its (nonzero) digits is 2176782336, while the sum is 80.

The spelling of 481969303969184 in words is "four hundred eighty-one trillion, nine hundred sixty-nine billion, three hundred three million, nine hundred sixty-nine thousand, one hundred eighty-four".