493827113376 has 384 divisors, whose sum is σ = 1627995801600. Its totient is φ = 144699125760.

The previous prime is 493827113371. The next prime is 493827113383. The reversal of 493827113376 is 673311728394.

493827113376 is a `hidden beast` number, since 4 + 9 + 38 + 271 + 1 + 337 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (493827113371) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19801651 + ... + 19826573.

It is an arithmetic number, because the mean of its divisors is an integer number (4239572400).

Almost surely, 2^493827113376 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 493827113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813997900800).

493827113376 is an abundant number, since it is smaller than the sum of its proper divisors (1134168688224).

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

493827113376 is a wasteful number, since it uses less digits than its factorization.

493827113376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25049 (or 25035 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 493827113376 in words is "four hundred ninety-three billion, eight hundred twenty-seven million, one hundred thirteen thousand, three hundred seventy-six".