845954404459548 has 96 divisors (see below), whose sum is σ = 1987662962638080. Its totient is φ = 280022316088320.

The previous prime is 845954404459457. The next prime is 845954404459583.

845954404459548 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29047624915 + ... + 29047654037.

It is an arithmetic number, because the mean of its divisors is an integer number (20704822527480).

Almost surely, 2^{845954404459548} is an apocalyptic number.

It is an amenable number.

845954404459548 is an abundant number, since it is smaller than the sum of its proper divisors (1141708558178532).

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

845954404459548 is a wasteful number, since it uses less digits than its factorization.

845954404459548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48147 (or 48145 counting only the distinct ones).

The product of its (nonzero) digits is 13271040000, while the sum is 78.

The spelling of 845954404459548 in words is "eight hundred forty-five trillion, nine hundred fifty-four billion, four hundred four million, four hundred fifty-nine thousand, five hundred forty-eight".