464071372352 has 112 divisors (see below), whose sum is σ = 1076723995392. Its totient is φ = 194349711360.

The previous prime is 464071372291. The next prime is 464071372361. The reversal of 464071372352 is 253273170464.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 3529748 + ... + 3658860.

Almost surely, 2^464071372352 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 464071372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538361997696).

464071372352 is an abundant number, since it is smaller than the sum of its proper divisors (612652623040).

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

464071372352 is a wasteful number, since it uses less digits than its factorization.

464071372352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129316 (or 129306 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The spelling of 464071372352 in words is "four hundred sixty-four billion, seventy-one million, three hundred seventy-two thousand, three hundred fifty-two".