456531229968 has 320 divisors, whose sum is σ = 1392690862080. Its totient is φ = 127371571200.

The previous prime is 456531229937. The next prime is 456531229981. The reversal of 456531229968 is 869922135654.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113931421 + ... + 113935427.

It is an arithmetic number, because the mean of its divisors is an integer number (4352158944).

Almost surely, 2^456531229968 is an apocalyptic number.

456531229968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456531229968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696345431040).

456531229968 is an abundant number, since it is smaller than the sum of its proper divisors (936159632112).

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

456531229968 is a wasteful number, since it uses less digits than its factorization.

456531229968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4360 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 60.

The spelling of 456531229968 in words is "four hundred fifty-six billion, five hundred thirty-one million, two hundred twenty-nine thousand, nine hundred sixty-eight".