487131750144 has 1152 divisors, whose sum is σ = 1730036367360. Its totient is φ = 135444234240.

The previous prime is 487131750121. The next prime is 487131750167. The reversal of 487131750144 is 441057131784.

487131750144 is a `hidden beast` number, since 4 + 8 + 7 + 131 + 7 + 501 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (487131750121) and next prime (487131750167).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 487131750144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3835683009 + ... + 3835683135.

It is an arithmetic number, because the mean of its divisors is an integer number (1501767680).

Almost surely, 2^487131750144 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 487131750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865018183680).

487131750144 is an abundant number, since it is smaller than the sum of its proper divisors (1242904617216).

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

487131750144 is a wasteful number, since it uses less digits than its factorization.

487131750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 487131750144 in words is "four hundred eighty-seven billion, one hundred thirty-one million, seven hundred fifty thousand, one hundred forty-four".