492395251188456 has 640 divisors, whose sum is σ = 1747582594560000. Its totient is φ = 125812295884800.

The previous prime is 492395251188433. The next prime is 492395251188473. The reversal of 492395251188456 is 654881152593294.

492395251188456 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 9 + 52 + 5 + 118 + 8 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1590479805 + ... + 1590789363.

It is an arithmetic number, because the mean of its divisors is an integer number (2730597804000).

Almost surely, 2^{492395251188456} 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 492395251188456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873791297280000).

492395251188456 is an abundant number, since it is smaller than the sum of its proper divisors (1255187343371544).

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

492395251188456 is a wasteful number, since it uses less digits than its factorization.

492395251188456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310115 (or 310102 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 72.

The spelling of 492395251188456 in words is "four hundred ninety-two trillion, three hundred ninety-five billion, two hundred fifty-one million, one hundred eighty-eight thousand, four hundred fifty-six".