460246642064 has 160 divisors (see below), whose sum is σ = 1022272213248. Its totient is φ = 198696960000.

The previous prime is 460246642061. The next prime is 460246642091.

460246642064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (460246642061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656556914 + ... + 656557614.

Almost surely, 2^460246642064 is an apocalyptic number.

460246642064 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 460246642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511136106624).

460246642064 is an abundant number, since it is smaller than the sum of its proper divisors (562025571184).

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

460246642064 is a wasteful number, since it uses less digits than its factorization.

460246642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 460246642064 in words is "four hundred sixty billion, two hundred forty-six million, six hundred forty-two thousand, sixty-four".