505456372420641 has 24 divisors (see below), whose sum is σ = 738650415360000. Its totient is φ = 333046430873856.

The previous prime is 505456372420619. The next prime is 505456372420679. The reversal of 505456372420641 is 146024273654505.

It is a happy number.

505456372420641 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 563 + 72 + 4 + 2 + 0 + 6 + 4 + 1 = 666.

It is not a de Polignac number, because 505456372420641 - 2¹⁰ = 505456372419617 is a prime.

It is a super-2 number, since 2×505456372420641² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505456372427641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840420016 + ... + 841021233.

It is an arithmetic number, because the mean of its divisors is an integer number (30777100640000).

Almost surely, 2^{505456372420641} is an apocalyptic number.

It is an amenable number.

505456372420641 is a deficient number, since it is larger than the sum of its proper divisors (233194042939359).

505456372420641 is a wasteful number, since it uses less digits than its factorization.

505456372420641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681441645 (or 1681441642 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

It can be divided in two parts, 5054563 and 72420641, that added together give a square (77475204 = 8802²).

The spelling of 505456372420641 in words is "five hundred five trillion, four hundred fifty-six billion, three hundred seventy-two million, four hundred twenty thousand, six hundred forty-one".