469005033099456 has 252 divisors, whose sum is σ = 1563840651687600. Its totient is φ = 133997849717760.

The previous prime is 469005033099371. The next prime is 469005033099587. The reversal of 469005033099456 is 654990330500964.

469005033099456 is a `hidden beast` number, since 4 + 6 + 9 + 0 + 0 + 503 + 30 + 9 + 94 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a junction number, because it is equal to n+sod(n) for n = 469005033099393 and 469005033099402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1161187461 + ... + 1161591291.

Almost surely, 2^{469005033099456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469005033099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781920325843800).

469005033099456 is an abundant number, since it is smaller than the sum of its proper divisors (1094835618588144).

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

469005033099456 is a wasteful number, since it uses less digits than its factorization.

469005033099456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445012 (or 444992 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 469005033099456 in words is "four hundred sixty-nine trillion, five billion, thirty-three million, ninety-nine thousand, four hundred fifty-six".