467801628421248 has 512 divisors, whose sum is σ = 1510780242816000. Its totient is φ = 141325461504000.

The previous prime is 467801628421247. The next prime is 467801628421271. The reversal of 467801628421248 is 842124826108764.

467801628421248 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 0 + 162 + 8 + 421 + 2 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (467801628421247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 30900423663 + ... + 30900438801.

It is an arithmetic number, because the mean of its divisors is an integer number (2950742661750).

Almost surely, 2^{467801628421248} is an apocalyptic number.

467801628421248 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 467801628421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755390121408000).

467801628421248 is an abundant number, since it is smaller than the sum of its proper divisors (1042978614394752).

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

467801628421248 is a wasteful number, since it uses less digits than its factorization.

467801628421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17601 (or 17583 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 467801628421248 in words is "four hundred sixty-seven trillion, eight hundred one billion, six hundred twenty-eight million, four hundred twenty-one thousand, two hundred forty-eight".