459955813968 has 60 divisors (see below), whose sum is σ = 1471128519328. Its totient is φ = 131415946560.

The previous prime is 459955813963. The next prime is 459955814023. The reversal of 459955813968 is 869318559954.

459955813968 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 5 + 581 + 39 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 459955813896 and 459955813905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459955813963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228151678 + ... + 228153693.

Almost surely, 2^459955813968 is an apocalyptic number.

459955813968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

459955813968 is an abundant number, since it is smaller than the sum of its proper divisors (1011172705360).

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

459955813968 is a wasteful number, since it uses less digits than its factorization.

459955813968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456305392 (or 456305383 counting only the distinct ones).

The product of its digits is 419904000, while the sum is 72.

The spelling of 459955813968 in words is "four hundred fifty-nine billion, nine hundred fifty-five million, eight hundred thirteen thousand, nine hundred sixty-eight".