493142898717000 has 192 divisors, whose sum is σ = 1904940569001600. Its totient is φ = 112718376835200.

The previous prime is 493142898716981. The next prime is 493142898717019. The reversal of 493142898717000 is 717898241394.

493142898717000 is a `hidden beast` number, since 4 + 9 + 31 + 428 + 9 + 8 + 7 + 170 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (493142898716981) and next prime (493142898717019).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 3913769530 + ... + 3913895529.

It is an arithmetic number, because the mean of its divisors is an integer number (9921565463550).

Almost surely, 2^{493142898717000} is an apocalyptic number.

493142898717000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493142898717000 is an abundant number, since it is smaller than the sum of its proper divisors (1411797670284600).

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

493142898717000 is a wasteful number, since it uses less digits than its factorization.

493142898717000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827665093 (or 7827665076 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 493142898717000 in words is "four hundred ninety-three trillion, one hundred forty-two billion, eight hundred ninety-eight million, seven hundred seventeen thousand".