496446314364 has 1152 divisors, whose sum is σ = 1815125760000. Its totient is φ = 117690693120.

The previous prime is 496446314327. The next prime is 496446314369. The reversal of 496446314364 is 463413644694.

496446314364 is a `hidden beast` number, since 496 + 4 + 4 + 6 + 3 + 143 + 6 + 4 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 496446314364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496446314369) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5578048432 + ... + 5578048520.

It is an arithmetic number, because the mean of its divisors is an integer number (1575630000).

Almost surely, 2^496446314364 is an apocalyptic number.

496446314364 is a gapful number since it is divisible by the number (44) 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 496446314364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907562880000).

496446314364 is an abundant number, since it is smaller than the sum of its proper divisors (1318679445636).

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

496446314364 is a wasteful number, since it uses less digits than its factorization.

496446314364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 496446314364 in words is "four hundred ninety-six billion, four hundred forty-six million, three hundred fourteen thousand, three hundred sixty-four".