54342324047232 has 3840 divisors, whose sum is σ = 211247429500800. Its totient is φ = 13684884111360.

The previous prime is 54342324047191. The next prime is 54342324047239. The reversal of 54342324047232 is 23274042324345.

54342324047232 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 2 + 3 + 2 + 404 + 7 + 232 = 666.

54342324047232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54342324047239) 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 479 ways as a sum of consecutive naturals, for example, 1468711460718 + ... + 1468711460754.

Almost surely, 2^{54342324047232} is an apocalyptic number.

54342324047232 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 54342324047232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105623714750400).

54342324047232 is an abundant number, since it is smaller than the sum of its proper divisors (156905105453568).

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

54342324047232 is a wasteful number, since it uses less digits than its factorization.

54342324047232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 45.

The spelling of 54342324047232 in words is "fifty-four trillion, three hundred forty-two billion, three hundred twenty-four million, forty-seven thousand, two hundred thirty-two".