469890013824 has 288 divisors, whose sum is σ = 1698581495520. Its totient is φ = 122049100800.

The previous prime is 469890013771. The next prime is 469890013837. The reversal of 469890013824 is 428310098964.

469890013824 is a `hidden beast` number, since 469 + 8 + 90 + 0 + 13 + 82 + 4 = 666.

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

It is a super-2 number, since 2×469890013824² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 734959 + ... + 1216529.

It is an arithmetic number, because the mean of its divisors is an integer number (5897852415).

Almost surely, 2^469890013824 is an apocalyptic number.

469890013824 is a gapful number since it is divisible by the number (44) 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 469890013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849290747760).

469890013824 is an abundant number, since it is smaller than the sum of its proper divisors (1228691481696).

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

469890013824 is a wasteful number, since it uses less digits than its factorization.

469890013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481620 (or 481594 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 469890013824 in words is "four hundred sixty-nine billion, eight hundred ninety million, thirteen thousand, eight hundred twenty-four".