481685253768 has 160 divisors (see below), whose sum is σ = 1360525393920. Its totient is φ = 159213600000.

The previous prime is 481685253761. The next prime is 481685253799. The reversal of 481685253768 is 867352586184.

481685253768 is a `hidden beast` number, since 4 + 8 + 16 + 8 + 525 + 37 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (481685253761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58802553 + ... + 58810743.

It is an arithmetic number, because the mean of its divisors is an integer number (8503283712).

Almost surely, 2^481685253768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481685253768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680262696960).

481685253768 is an abundant number, since it is smaller than the sum of its proper divisors (878840140152).

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

481685253768 is a wasteful number, since it uses less digits than its factorization.

481685253768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8948 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 481685253768 in words is "four hundred eighty-one billion, six hundred eighty-five million, two hundred fifty-three thousand, seven hundred sixty-eight".