54854695636608 has 256 divisors, whose sum is σ = 175313398579200. Its totient is φ = 14845698994176.

The previous prime is 54854695636603. The next prime is 54854695636633. The reversal of 54854695636608 is 80663659645845.

It is a happy number.

54854695636608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54854695636608.

It is not an unprimeable number, because it can be changed into a prime (54854695636603) 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 31 ways as a sum of consecutive naturals, for example, 362688810 + ... + 362840022.

It is an arithmetic number, because the mean of its divisors is an integer number (684817963200).

Almost surely, 2^{54854695636608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54854695636608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87656699289600).

54854695636608 is an abundant number, since it is smaller than the sum of its proper divisors (120458702942592).

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

54854695636608 is a wasteful number, since it uses less digits than its factorization.

54854695636608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158359 (or 158347 counting only the distinct ones).

The product of its (nonzero) digits is 4478976000, while the sum is 75.

The spelling of 54854695636608 in words is "fifty-four trillion, eight hundred fifty-four billion, six hundred ninety-five million, six hundred thirty-six thousand, six hundred eight".