495188733312 has 960 divisors, whose sum is σ = 1864688601600. Its totient is φ = 127671717888.

The previous prime is 495188733257. The next prime is 495188733313. The reversal of 495188733312 is 213337881594.

495188733312 is a `hidden beast` number, since 4 + 9 + 518 + 87 + 3 + 33 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495188733313) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 576470739 + ... + 576471597.

It is an arithmetic number, because the mean of its divisors is an integer number (1942383960).

Almost surely, 2^495188733312 is an apocalyptic number.

495188733312 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 495188733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932344300800).

495188733312 is an abundant number, since it is smaller than the sum of its proper divisors (1369499868288).

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

495188733312 is a wasteful number, since it uses less digits than its factorization.

495188733312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 931 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 495188733312 in words is "four hundred ninety-five billion, one hundred eighty-eight million, seven hundred thirty-three thousand, three hundred twelve".