456163262464 has 340 divisors, whose sum is σ = 1151319275456. Its totient is φ = 179650953216.

The previous prime is 456163262461. The next prime is 456163262473. The reversal of 456163262464 is 464262361654.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (456163262461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2045575057 + ... + 2045575279.

Almost surely, 2^456163262464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456163262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575659637728).

456163262464 is an abundant number, since it is smaller than the sum of its proper divisors (695156012992).

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

456163262464 is an frugal number, since it uses more digits than its factorization.

456163262464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 245 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 49.

The spelling of 456163262464 in words is "four hundred fifty-six billion, one hundred sixty-three million, two hundred sixty-two thousand, four hundred sixty-four".