455928152064 has 1024 divisors, whose sum is σ = 1642799923200. Its totient is φ = 108999475200.

The previous prime is 455928152021. The next prime is 455928152111. The reversal of 455928152064 is 460251829554.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 455928151998 and 455928152016.

It is a congruent number.

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, 6804897759 + ... + 6804897825.

It is an arithmetic number, because the mean of its divisors is an integer number (1604296800).

Almost surely, 2^455928152064 is an apocalyptic number.

455928152064 is a gapful number since it is divisible by the number (44) 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 455928152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821399961600).

455928152064 is an abundant number, since it is smaller than the sum of its proper divisors (1186871771136).

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

455928152064 is a wasteful number, since it uses less digits than its factorization.

455928152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 455928152064 in words is "four hundred fifty-five billion, nine hundred twenty-eight million, one hundred fifty-two thousand, sixty-four".