474342250846464 has 2880 divisors, whose sum is σ = 1922222705356800. Its totient is φ = 112815372533760.

The previous prime is 474342250846433. The next prime is 474342250846537. The reversal of 474342250846464 is 464648052243474.

474342250846464 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 4 + 2 + 2 + 508 + 4 + 64 + 64 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 791890234837 + ... + 791890235435.

It is an arithmetic number, because the mean of its divisors is an integer number (667438439360).

Almost surely, 2^{474342250846464} is an apocalyptic number.

474342250846464 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 474342250846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961111352678400).

474342250846464 is an abundant number, since it is smaller than the sum of its proper divisors (1447880454510336).

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

474342250846464 is an equidigital number, since it uses as much as digits as its factorization.

474342250846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 63.

The spelling of 474342250846464 in words is "four hundred seventy-four trillion, three hundred forty-two billion, two hundred fifty million, eight hundred forty-six thousand, four hundred sixty-four".