469616168448 has 640 divisors, whose sum is σ = 1629200010240. Its totient is φ = 130799370240.

The previous prime is 469616168447. The next prime is 469616168471. The reversal of 469616168448 is 844861616964.

469616168448 is a `hidden beast` number, since 4 + 6 + 9 + 6 + 1 + 616 + 8 + 4 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469616168447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732630208 + ... + 732630848.

It is an arithmetic number, because the mean of its divisors is an integer number (2545625016).

Almost surely, 2^469616168448 is an apocalyptic number.

469616168448 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 469616168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814600005120).

469616168448 is an abundant number, since it is smaller than the sum of its proper divisors (1159583841792).

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

469616168448 is a wasteful number, since it uses less digits than its factorization.

469616168448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 833 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 469616168448 in words is "four hundred sixty-nine billion, six hundred sixteen million, one hundred sixty-eight thousand, four hundred forty-eight".