486318620837952 has 784 divisors, whose sum is σ = 1745301485727360. Its totient is φ = 131281581441024.

The previous prime is 486318620837927. The next prime is 486318620837969. The reversal of 486318620837952 is 259738026813684.

486318620837952 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 186 + 20 + 8 + 379 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 2314452448 + ... + 2314662560.

It is a 1-persistent number, because it is pandigital, but 2⋅486318620837952 = 972637241675904 is not.

Almost surely, 2^{486318620837952} is an apocalyptic number.

486318620837952 is a gapful number since it is divisible by the number (42) 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 486318620837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872650742863680).

486318620837952 is an abundant number, since it is smaller than the sum of its proper divisors (1258982864889408).

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

486318620837952 is a wasteful number, since it uses less digits than its factorization.

486318620837952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210542 (or 210517 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 486318620837952 in words is "four hundred eighty-six trillion, three hundred eighteen billion, six hundred twenty million, eight hundred thirty-seven thousand, nine hundred fifty-two".