481926025750221 has 256 divisors, whose sum is σ = 837756188559360. Its totient is φ = 271082446848000.

The previous prime is 481926025750219. The next prime is 481926025750231. The reversal of 481926025750221 is 122057520629184.

481926025750221 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 2 + 60 + 2 + 57 + 502 + 21 = 666.

It is not a de Polignac number, because 481926025750221 - 2¹ = 481926025750219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481926025750201) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73903696441 + ... + 73903702961.

It is an arithmetic number, because the mean of its divisors is an integer number (3272485111560).

Almost surely, 2^{481926025750221} is an apocalyptic number.

481926025750221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

481926025750221 is a deficient number, since it is larger than the sum of its proper divisors (355830162809139).

481926025750221 is a wasteful number, since it uses less digits than its factorization.

481926025750221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7925 (or 7919 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 481926025750221 in words is "four hundred eighty-one trillion, nine hundred twenty-six billion, twenty-five million, seven hundred fifty thousand, two hundred twenty-one".