460453444354064 has 40 divisors (see below), whose sum is σ = 1019576936197248. Its totient is φ = 197336909352960.

The previous prime is 460453444354061. The next prime is 460453444354067.

460453444354064 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (460453444354061) and next prime (460453444354067).

It is a super-2 number, since 2×460453444354064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (460453444354061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88835024 + ... + 93875280.

Almost surely, 2^{460453444354064} is an apocalyptic number.

It is an amenable number.

460453444354064 is an abundant number, since it is smaller than the sum of its proper divisors (559123491843184).

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

460453444354064 is a wasteful number, since it uses less digits than its factorization.

460453444354064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855943 (or 5855937 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 56.

The spelling of 460453444354064 in words is "four hundred sixty trillion, four hundred fifty-three billion, four hundred forty-four million, three hundred fifty-four thousand, sixty-four".