4861545481200 has 480 divisors, whose sum is σ = 17463784032000. Its totient is φ = 1148827484160.

The previous prime is 4861545481171. The next prime is 4861545481207. The reversal of 4861545481200 is 21845451684.

It is a super-2 number, since 2×4861545481200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4861545481200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861545481207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63140326 + ... + 63217274.

It is an arithmetic number, because the mean of its divisors is an integer number (36382883400).

Almost surely, 2^{4861545481200} is an apocalyptic number.

4861545481200 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 4861545481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731892016000).

4861545481200 is an abundant number, since it is smaller than the sum of its proper divisors (12602238550800).

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

4861545481200 is a wasteful number, since it uses less digits than its factorization.

4861545481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77169 (or 77158 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 4861545481200 in words is "four trillion, eight hundred sixty-one billion, five hundred forty-five million, four hundred eighty-one thousand, two hundred".