456395337216 has 720 divisors, whose sum is σ = 1684548369504. Its totient is φ = 120287379456.

The previous prime is 456395337187. The next prime is 456395337217. The reversal of 456395337216 is 612733593654.

456395337216 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 95 + 337 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456395337217) 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 71 ways as a sum of consecutive naturals, for example, 305689366 + ... + 305690858.

Almost surely, 2^456395337216 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 456395337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842274184752).

456395337216 is an abundant number, since it is smaller than the sum of its proper divisors (1228153032288).

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

456395337216 is an frugal number, since it uses more digits than its factorization.

456395337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1518 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 456395337216 in words is "four hundred fifty-six billion, three hundred ninety-five million, three hundred thirty-seven thousand, two hundred sixteen".