460461222164064 has 288 divisors, whose sum is σ = 1431068222932992. Its totient is φ = 129161630822400.

The previous prime is 460461222164039. The next prime is 460461222164071.

460461222164064 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 47 ways as a sum of consecutive naturals, for example, 19516009 + ... + 36080424.

It is an arithmetic number, because the mean of its divisors is an integer number (4968986885184).

Almost surely, 2^{460461222164064} is an apocalyptic number.

460461222164064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460461222164064 is an abundant number, since it is smaller than the sum of its proper divisors (970607000768928).

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

460461222164064 is a wasteful number, since it uses less digits than its factorization.

460461222164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55596522 (or 55596503 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 460461222164064 in words is "four hundred sixty trillion, four hundred sixty-one billion, two hundred twenty-two million, one hundred sixty-four thousand, sixty-four".