542148227712 has 384 divisors, whose sum is σ = 2021174064000. Its totient is φ = 135458168832.

The previous prime is 542148227707. The next prime is 542148227729. The reversal of 542148227712 is 217722841245.

542148227712 is a `hidden beast` number, since 542 + 1 + 4 + 8 + 22 + 77 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×542148227712² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1855714 + ... + 2127902.

It is an arithmetic number, because the mean of its divisors is an integer number (5263474125).

Almost surely, 2^542148227712 is an apocalyptic number.

542148227712 is a gapful number since it is divisible by the number (52) 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 542148227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010587032000).

542148227712 is an abundant number, since it is smaller than the sum of its proper divisors (1479025836288).

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

542148227712 is a wasteful number, since it uses less digits than its factorization.

542148227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272248 (or 272233 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The spelling of 542148227712 in words is "five hundred forty-two billion, one hundred forty-eight million, two hundred twenty-seven thousand, seven hundred twelve".