4806486061600 has 144 divisors (see below), whose sum is σ = 11846976510600. Its totient is φ = 1904072417280.

The previous prime is 4806486061589. The next prime is 4806486061603. The reversal of 4806486061600 is 61606846084.

It can be written as a sum of positive squares in 12 ways, for example, as 483130645776 + 4323355415824 = 695076^2 + 2079268^2 .

It is a super-3 number, since 3×4806486061600³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4806486061603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207262806 + ... + 207285994.

Almost surely, 2^{4806486061600} is an apocalyptic number.

4806486061600 is a gapful number since it is divisible by the number (40) 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 4806486061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923488255300).

4806486061600 is an abundant number, since it is smaller than the sum of its proper divisors (7040490449000).

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

4806486061600 is a wasteful number, since it uses less digits than its factorization.

4806486061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25695 (or 25682 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 4806486061600 in words is "four trillion, eight hundred six billion, four hundred eighty-six million, sixty-one thousand, six hundred".