845455776480 has 864 divisors, whose sum is σ = 3405193960896. Its totient is φ = 190448713728.

The previous prime is 845455776463. The next prime is 845455776481. The reversal of 845455776480 is 84677554548.

845455776480 is a `hidden beast` number, since 8 + 4 + 5 + 4 + 557 + 76 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845455776481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1850012412 + ... + 1850012868.

It is an arithmetic number, because the mean of its divisors is an integer number (3941196714).

Almost surely, 2^845455776480 is an apocalyptic number.

845455776480 is a gapful number since it is divisible by the number (80) 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 845455776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702596980448).

845455776480 is an abundant number, since it is smaller than the sum of its proper divisors (2559738184416).

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

845455776480 is a wasteful number, since it uses less digits than its factorization.

845455776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 845455776480 in words is "eight hundred forty-five billion, four hundred fifty-five million, seven hundred seventy-six thousand, four hundred eighty".