493864826112 has 288 divisors, whose sum is σ = 1741652828160. Its totient is φ = 134968965120.

The previous prime is 493864826099. The next prime is 493864826129. The reversal of 493864826112 is 211628468394.

493864826112 is a `hidden beast` number, since 4 + 93 + 8 + 6 + 482 + 61 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890937 + ... + 1334727.

Almost surely, 2^493864826112 is an apocalyptic number.

493864826112 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 493864826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870826414080).

493864826112 is an abundant number, since it is smaller than the sum of its proper divisors (1247788002048).

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

493864826112 is a wasteful number, since it uses less digits than its factorization.

493864826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443846 (or 443826 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 493864826112 in words is "four hundred ninety-three billion, eight hundred sixty-four million, eight hundred twenty-six thousand, one hundred twelve".