481515251568 has 240 divisors, whose sum is σ = 1395484477920. Its totient is φ = 142836535296.

The previous prime is 481515251561. The next prime is 481515251573. The reversal of 481515251568 is 865152515184.

It is a Cunningham number, because it is equal to 693913²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 481515251568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481515251561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234541230 + ... + 234543282.

It is an arithmetic number, because the mean of its divisors is an integer number (5814518658).

Almost surely, 2^481515251568 is an apocalyptic number.

481515251568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481515251568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697742238960).

481515251568 is an abundant number, since it is smaller than the sum of its proper divisors (913969226352).

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

481515251568 is a wasteful number, since it uses less digits than its factorization.

481515251568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3097 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 51.

The spelling of 481515251568 in words is "four hundred eighty-one billion, five hundred fifteen million, two hundred fifty-one thousand, five hundred sixty-eight".