481451460645888 has 792 divisors, whose sum is σ = 1442705022900960. Its totient is φ = 154626314895360.

The previous prime is 481451460645877. The next prime is 481451460645929. The reversal of 481451460645888 is 888546064154184.

481451460645888 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 5 + 1 + 4 + 606 + 4 + 5 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×481451460645888² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428719020495 + ... + 428719021617.

Almost surely, 2^{481451460645888} is an apocalyptic number.

481451460645888 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 481451460645888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721352511450480).

481451460645888 is an abundant number, since it is smaller than the sum of its proper divisors (961253562255072).

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

481451460645888 is a wasteful number, since it uses less digits than its factorization.

481451460645888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 943718400, while the sum is 72.

The spelling of 481451460645888 in words is "four hundred eighty-one trillion, four hundred fifty-one billion, four hundred sixty million, six hundred forty-five thousand, eight hundred eighty-eight".