496191723264 has 432 divisors, whose sum is σ = 1570379690880. Its totient is φ = 155823575040.

The previous prime is 496191723263. The next prime is 496191723299. The reversal of 496191723264 is 462327191694.

496191723264 is a `hidden beast` number, since 4 + 9 + 619 + 17 + 2 + 3 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 496191723264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496191723263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232843479 + ... + 232845609.

Almost surely, 2^496191723264 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 496191723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785189845440).

496191723264 is an abundant number, since it is smaller than the sum of its proper divisors (1074187967616).

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

496191723264 is a wasteful number, since it uses less digits than its factorization.

496191723264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2352 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 496191723264 in words is "four hundred ninety-six billion, one hundred ninety-one million, seven hundred twenty-three thousand, two hundred sixty-four".