846554910018048 has 3200 divisors, whose sum is σ = 3510512181411840. Its totient is φ = 196505616384000.

The previous prime is 846554910018001. The next prime is 846554910018049. The reversal of 846554910018048 is 840810019455648.

It is a happy number.

846554910018048 is a `hidden beast` number, since 8 + 4 + 6 + 5 + 549 + 1 + 0 + 0 + 1 + 80 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (846554910018049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 66028767478 + ... + 66028780298.

Almost surely, 2^{846554910018048} is an apocalyptic number.

846554910018048 is a gapful number since it is divisible by the number (88) 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 846554910018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755256090705920).

846554910018048 is an abundant number, since it is smaller than the sum of its proper divisors (2663957271393792).

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

846554910018048 is a wasteful number, since it uses less digits than its factorization.

846554910018048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952 (or 12927 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 846554910018048 in words is "eight hundred forty-six trillion, five hundred fifty-four billion, nine hundred ten million, eighteen thousand, forty-eight".