553577953460481 has 16 divisors (see below), whose sum is σ = 821144489760000. Its totient is φ = 368588917555344.

The previous prime is 553577953460473. The next prime is 553577953460507. The reversal of 553577953460481 is 184064359775355.

553577953460481 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 7 + 7 + 9 + 5 + 3 + 4 + 604 + 8 + 1 = 666.

It is not a de Polignac number, because 553577953460481 - 2³ = 553577953460473 is a prime.

It is a super-2 number, since 2×553577953460481² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (553577953460401) 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, 12862517481 + ... + 12862560518.

It is an arithmetic number, because the mean of its divisors is an integer number (51321530610000).

Almost surely, 2^{553577953460481} is an apocalyptic number.

It is an amenable number.

553577953460481 is a deficient number, since it is larger than the sum of its proper divisors (267566536299519).

553577953460481 is a wasteful number, since it uses less digits than its factorization.

553577953460481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25725078805 (or 25725078799 counting only the distinct ones).

The product of its (nonzero) digits is 1905120000, while the sum is 72.

The spelling of 553577953460481 in words is "five hundred fifty-three trillion, five hundred seventy-seven billion, nine hundred fifty-three million, four hundred sixty thousand, four hundred eighty-one".