455070380688 has 480 divisors, whose sum is σ = 1659733770240. Its totient is φ = 117259591680.

The previous prime is 455070380587. The next prime is 455070380729. The reversal of 455070380688 is 886083070554.

455070380688 is a `hidden beast` number, since 4 + 550 + 7 + 0 + 3 + 8 + 0 + 6 + 88 = 666.

455070380688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×455070380688³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38014768 + ... + 38026736.

It is an arithmetic number, because the mean of its divisors is an integer number (3457778688).

Almost surely, 2^455070380688 is an apocalyptic number.

455070380688 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 455070380688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829866885120).

455070380688 is an abundant number, since it is smaller than the sum of its proper divisors (1204663389552).

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

455070380688 is a wasteful number, since it uses less digits than its factorization.

455070380688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12137 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 455070380688 in words is "four hundred fifty-five billion, seventy million, three hundred eighty thousand, six hundred eighty-eight".