481851756288 has 864 divisors, whose sum is σ = 1756891584000. Its totient is φ = 130194376704.

The previous prime is 481851756277. The next prime is 481851756299. The reversal of 481851756288 is 882657158184.

481851756288 is a `hidden beast` number, since 4 + 8 + 18 + 51 + 7 + 562 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (481851756277) and next prime (481851756299).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×481851756288² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 855864295 + ... + 855864857.

Almost surely, 2^481851756288 is an apocalyptic number.

481851756288 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 481851756288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878445792000).

481851756288 is an abundant number, since it is smaller than the sum of its proper divisors (1275039827712).

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

481851756288 is an equidigital number, since it uses as much as digits as its factorization.

481851756288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 594 counting only the distinct ones).

The product of its digits is 34406400, while the sum is 63.

The spelling of 481851756288 in words is "four hundred eighty-one billion, eight hundred fifty-one million, seven hundred fifty-six thousand, two hundred eighty-eight".