497601776448 has 1008 divisors, whose sum is σ = 1801961734144. Its totient is φ = 133327918080.

The previous prime is 497601776311. The next prime is 497601776449. The reversal of 497601776448 is 844677106794.

497601776448 is a `hidden beast` number, since 49 + 76 + 0 + 17 + 76 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497601776449) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3918124161 + ... + 3918124287.

Almost surely, 2^497601776448 is an apocalyptic number.

497601776448 is a gapful number since it is divisible by the number (48) 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 497601776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900980867072).

497601776448 is an abundant number, since it is smaller than the sum of its proper divisors (1304359957696).

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

497601776448 is an equidigital number, since it uses as much as digits as its factorization.

497601776448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 497601776448 in words is "four hundred ninety-seven billion, six hundred one million, seven hundred seventy-six thousand, four hundred forty-eight".