481653202206456 has 768 divisors, whose sum is σ = 1635086065536000. Its totient is φ = 128585634278400.

The previous prime is 481653202206413. The next prime is 481653202206467. The reversal of 481653202206456 is 654602202356184.

481653202206456 is a `hidden beast` number, since 4 + 8 + 1 + 65 + 320 + 2 + 206 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7042811910 + ... + 7042880298.

It is an arithmetic number, because the mean of its divisors is an integer number (2129018314500).

Almost surely, 2^{481653202206456} 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 481653202206456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817543032768000).

481653202206456 is an abundant number, since it is smaller than the sum of its proper divisors (1153432863329544).

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

481653202206456 is a wasteful number, since it uses less digits than its factorization.

481653202206456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68641 (or 68600 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 481653202206456 in words is "four hundred eighty-one trillion, six hundred fifty-three billion, two hundred two million, two hundred six thousand, four hundred fifty-six".