456460350465321 has 32 divisors (see below), whose sum is σ = 711831218140800. Its totient is φ = 288289851978240.

The previous prime is 456460350465299. The next prime is 456460350465347. The reversal of 456460350465321 is 123564053064654.

456460350465321 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 60 + 3 + 5 + 0 + 46 + 532 + 1 = 666.

It is not a de Polignac number, because 456460350465321 - 2¹³ = 456460350457129 is a prime.

It is a super-2 number, since 2×456460350465321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456460350465421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189586881 + ... + 191979441.

It is an arithmetic number, because the mean of its divisors is an integer number (22244725566900).

Almost surely, 2^{456460350465321} is an apocalyptic number.

It is an amenable number.

456460350465321 is a deficient number, since it is larger than the sum of its proper divisors (255370867675479).

456460350465321 is a wasteful number, since it uses less digits than its factorization.

456460350465321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764486 (or 2764480 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 456460350465321 in words is "four hundred fifty-six trillion, four hundred sixty billion, three hundred fifty million, four hundred sixty-five thousand, three hundred twenty-one".