455210383275648 has 1152 divisors, whose sum is σ = 1856477578213440. Its totient is φ = 109141298380800.

The previous prime is 455210383275559. The next prime is 455210383275671. The reversal of 455210383275648 is 846572383012554.

455210383275648 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 1 + 0 + 38 + 32 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 216901408 + ... + 218990048.

Almost surely, 2^{455210383275648} is an apocalyptic number.

455210383275648 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 455210383275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928238789106720).

455210383275648 is an abundant number, since it is smaller than the sum of its proper divisors (1401267194937792).

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

455210383275648 is a wasteful number, since it uses less digits than its factorization.

455210383275648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088708 (or 2088677 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 455210383275648 in words is "four hundred fifty-five trillion, two hundred ten billion, three hundred eighty-three million, two hundred seventy-five thousand, six hundred forty-eight".