455385176208768 has 192 divisors, whose sum is σ = 1314802182862080. Its totient is φ = 139585740503040.

The previous prime is 455385176208623. The next prime is 455385176208793. The reversal of 455385176208768 is 867802671583554.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 455385176208768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3727053 + ... + 30408243.

It is an arithmetic number, because the mean of its divisors is an integer number (6847928035740).

Almost surely, 2^{455385176208768} is an apocalyptic number.

455385176208768 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 455385176208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657401091431040).

455385176208768 is an abundant number, since it is smaller than the sum of its proper divisors (859417006653312).

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

455385176208768 is a wasteful number, since it uses less digits than its factorization.

455385176208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26681497 (or 26681472 counting only the distinct ones).

The product of its (nonzero) digits is 2709504000, while the sum is 75.

The spelling of 455385176208768 in words is "four hundred fifty-five trillion, three hundred eighty-five billion, one hundred seventy-six million, two hundred eight thousand, seven hundred sixty-eight".