481005231552 has 280 divisors, whose sum is σ = 1474641907200. Its totient is φ = 154868267520.

The previous prime is 481005231533. The next prime is 481005231569. The reversal of 481005231552 is 255132500184.

481005231552 is a `hidden beast` number, since 4 + 81 + 0 + 0 + 5 + 23 + 1 + 552 = 666.

It is a super-3 number, since 3×481005231552³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94330699 + ... + 94335797.

It is an arithmetic number, because the mean of its divisors is an integer number (5266578240).

Almost surely, 2^481005231552 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 481005231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737320953600).

481005231552 is an abundant number, since it is smaller than the sum of its proper divisors (993636675648).

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

481005231552 is a wasteful number, since it uses less digits than its factorization.

481005231552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 481005231552 in words is "four hundred eighty-one billion, five million, two hundred thirty-one thousand, five hundred fifty-two".