54270451243008 has 2304 divisors, whose sum is σ = 218700518400000. Its totient is φ = 12912350330880.

The previous prime is 54270451243007. The next prime is 54270451243037. The reversal of 54270451243008 is 80034215407245.

54270451243008 is a `hidden beast` number, since 5 + 4 + 270 + 4 + 51 + 24 + 300 + 8 = 666.

54270451243008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-4 number, since 4×54270451243008⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54270451243007) 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 191 ways as a sum of consecutive naturals, for example, 143193802563 + ... + 143193802941.

It is an arithmetic number, because the mean of its divisors is an integer number (94922100000).

Almost surely, 2^{54270451243008} 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 54270451243008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109350259200000).

54270451243008 is an abundant number, since it is smaller than the sum of its proper divisors (164430067156992).

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

54270451243008 is a wasteful number, since it uses less digits than its factorization.

54270451243008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 54270451243008 in words is "fifty-four trillion, two hundred seventy billion, four hundred fifty-one million, two hundred forty-three thousand, eight".