5154288018048 has 640 divisors, whose sum is σ = 16887552675840. Its totient is φ = 1550920089600.

The previous prime is 5154288018043. The next prime is 5154288018049. The reversal of 5154288018048 is 8408108824515.

5154288018048 is a `hidden beast` number, since 5 + 1 + 542 + 8 + 80 + 18 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5154288017985 and 5154288018003.

It is not an unprimeable number, because it can be changed into a prime (5154288018043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1215345208 + ... + 1215349448.

It is an arithmetic number, because the mean of its divisors is an integer number (26386801056).

Almost surely, 2^{5154288018048} 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 5154288018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443776337920).

5154288018048 is an abundant number, since it is smaller than the sum of its proper divisors (11733264657792).

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

5154288018048 is a wasteful number, since it uses less digits than its factorization.

5154288018048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 54.

The spelling of 5154288018048 in words is "five trillion, one hundred fifty-four billion, two hundred eighty-eight million, eighteen thousand, forty-eight".