460248842064 has 80 divisors (see below), whose sum is σ = 1305022616064. Its totient is φ = 138613680000.

The previous prime is 460248842057. The next prime is 460248842077.

460248842064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2587812 + ... + 2759939.

Almost surely, 2^460248842064 is an apocalyptic number.

460248842064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460248842064 is an abundant number, since it is smaller than the sum of its proper divisors (844773774000).

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

460248842064 is a wasteful number, since it uses less digits than its factorization.

460248842064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347936 (or 5347930 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 460248842064 in words is "four hundred sixty billion, two hundred forty-eight million, eight hundred forty-two thousand, sixty-four".