460635424536064 has 80 divisors (see below), whose sum is σ = 952124054468400. Its totient is φ = 222371997589504.

The previous prime is 460635424536031. The next prime is 460635424536143.

It is a happy number.

460635424536064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×460635424536064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021599114 + ... + 1022049910.

It is an arithmetic number, because the mean of its divisors is an integer number (11901550680855).

Almost surely, 2^{460635424536064} is an apocalyptic number.

It is an amenable number.

460635424536064 is an abundant number, since it is smaller than the sum of its proper divisors (491488629932336).

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

460635424536064 is an equidigital number, since it uses as much as digits as its factorization.

460635424536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519663 (or 519647 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 58.

The spelling of 460635424536064 in words is "four hundred sixty trillion, six hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-six thousand, sixty-four".