486947114640 has 1280 divisors, whose sum is σ = 2187014307840. Its totient is φ = 96931676160.

The previous prime is 486947114627. The next prime is 486947114669. The reversal of 486947114640 is 46411749684.

486947114640 is a `hidden beast` number, since 4 + 86 + 94 + 7 + 11 + 464 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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 255 ways as a sum of consecutive naturals, for example, 183268192 + ... + 183270848.

It is an arithmetic number, because the mean of its divisors is an integer number (1708604928).

Almost surely, 2^486947114640 is an apocalyptic number.

486947114640 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 486947114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093507153920).

486947114640 is an abundant number, since it is smaller than the sum of its proper divisors (1700067193200).

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

486947114640 is a wasteful number, since it uses less digits than its factorization.

486947114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 486947114640 in words is "four hundred eighty-six billion, nine hundred forty-seven million, one hundred fourteen thousand, six hundred forty".