495523784448 has 648 divisors, whose sum is σ = 1852873637888. Its totient is φ = 124540416000.

The previous prime is 495523784447. The next prime is 495523784471. The reversal of 495523784448 is 844487325594.

495523784448 is a `hidden beast` number, since 4 + 9 + 552 + 3 + 78 + 4 + 4 + 4 + 8 = 666.

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 (495523784443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60492033 + ... + 60500223.

Almost surely, 2^495523784448 is an apocalyptic number.

495523784448 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 495523784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926436818944).

495523784448 is an abundant number, since it is smaller than the sum of its proper divisors (1357349853440).

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

495523784448 is a wasteful number, since it uses less digits than its factorization.

495523784448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8245 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 495523784448 in words is "four hundred ninety-five billion, five hundred twenty-three million, seven hundred eighty-four thousand, four hundred forty-eight".