469899769248 has 288 divisors, whose sum is σ = 1650742958592. Its totient is φ = 123470438400.

The previous prime is 469899769247. The next prime is 469899769253. The reversal of 469899769248 is 842967998964.

469899769248 is a `hidden beast` number, since 469 + 8 + 9 + 97 + 69 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (469899769247) 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 47 ways as a sum of consecutive naturals, for example, 7069288 + ... + 7135448.

It is an arithmetic number, because the mean of its divisors is an integer number (5731746384).

Almost surely, 2^469899769248 is an apocalyptic number.

469899769248 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 469899769248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825371479296).

469899769248 is an abundant number, since it is smaller than the sum of its proper divisors (1180843189344).

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

469899769248 is a wasteful number, since it uses less digits than its factorization.

469899769248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66468 (or 66457 counting only the distinct ones).

The product of its digits is 3386105856, while the sum is 81.

The spelling of 469899769248 in words is "four hundred sixty-nine billion, eight hundred ninety-nine million, seven hundred sixty-nine thousand, two hundred forty-eight".