477348102144 has 216 divisors, whose sum is σ = 1391592406932. Its totient is φ = 157663887360.

The previous prime is 477348102089. The next prime is 477348102149. The reversal of 477348102144 is 441201843774.

477348102144 is a `hidden beast` number, since 47 + 73 + 481 + 0 + 21 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 472463769600 + 4884332544 = 687360^2 + 69888^2 .

It is a super-2 number, since 2×477348102144² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 477348102144.

It is not an unprimeable number, because it can be changed into a prime (477348102149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133298434 + ... + 133302014.

Almost surely, 2^477348102144 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 477348102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695796203466).

477348102144 is an abundant number, since it is smaller than the sum of its proper divisors (914244304788).

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

477348102144 is an equidigital number, since it uses as much as digits as its factorization.

477348102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 477348102144 in words is "four hundred seventy-seven billion, three hundred forty-eight million, one hundred two thousand, one hundred forty-four".