486621644544000 has 2304 divisors, whose sum is σ = 2083354045194240. Its totient is φ = 110985442099200.

The previous prime is 486621644543981. The next prime is 486621644544001. The reversal of 486621644544000 is 445446126684.

486621644544000 is a `hidden beast` number, since 4 + 8 + 6 + 621 + 6 + 4 + 4 + 5 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486621644544001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 266934527089 + ... + 266934528911.

It is an arithmetic number, because the mean of its divisors is an integer number (904233526560).

Almost surely, 2^{486621644544000} is an apocalyptic number.

486621644544000 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 486621644544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041677022597120).

486621644544000 is an abundant number, since it is smaller than the sum of its proper divisors (1596732400650240).

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

486621644544000 is an equidigital number, since it uses as much as digits as its factorization.

486621644544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 486621644544000 in words is "four hundred eighty-six trillion, six hundred twenty-one billion, six hundred forty-four million, five hundred forty-four thousand".