467338088448 has 1248 divisors, whose sum is σ = 1789977526272. Its totient is φ = 113953996800.

The previous prime is 467338088381. The next prime is 467338088449. The reversal of 467338088448 is 844880833764.

467338088448 is a `hidden beast` number, since 4 + 6 + 7 + 33 + 80 + 88 + 448 = 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 (467338088449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4135735240 + ... + 4135735352.

It is an arithmetic number, because the mean of its divisors is an integer number (1434276864).

Almost surely, 2^467338088448 is an apocalyptic number.

467338088448 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 467338088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894988763136).

467338088448 is an abundant number, since it is smaller than the sum of its proper divisors (1322639437824).

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

467338088448 is a wasteful number, since it uses less digits than its factorization.

467338088448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 467338088448 in words is "four hundred sixty-seven billion, three hundred thirty-eight million, eighty-eight thousand, four hundred forty-eight".