456226799616 has 384 divisors, whose sum is σ = 1555056422400. Its totient is φ = 126127964160.

The previous prime is 456226799573. The next prime is 456226799629. The reversal of 456226799616 is 616997622654.

456226799616 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 2 + 6 + 7 + 9 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63992340 + ... + 63999468.

It is an arithmetic number, because the mean of its divisors is an integer number (4049626100).

Almost surely, 2^456226799616 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 456226799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777528211200).

456226799616 is an abundant number, since it is smaller than the sum of its proper divisors (1098829622784).

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

456226799616 is an equidigital number, since it uses as much as digits as its factorization.

456226799616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7172 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 456226799616 in words is "four hundred fifty-six billion, two hundred twenty-six million, seven hundred ninety-nine thousand, six hundred sixteen".