480563077144788 has 192 divisors, whose sum is σ = 1392512367456000. Its totient is φ = 142053584025600.

The previous prime is 480563077144769. The next prime is 480563077144793. The reversal of 480563077144788 is 887441770365084.

480563077144788 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 6 + 30 + 7 + 71 + 447 + 88 = 666.

It is a super-2 number, since 2×480563077144788² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351427728 + ... + 352792536.

It is an arithmetic number, because the mean of its divisors is an integer number (7252668580500).

Almost surely, 2^{480563077144788} 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 480563077144788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696256183728000).

480563077144788 is an abundant number, since it is smaller than the sum of its proper divisors (911949290311212).

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

480563077144788 is a wasteful number, since it uses less digits than its factorization.

480563077144788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372103 (or 1372095 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 480563077144788 in words is "four hundred eighty trillion, five hundred sixty-three billion, seventy-seven million, one hundred forty-four thousand, seven hundred eighty-eight".