54162564648192 has 4032 divisors, whose sum is σ = 228048962265600. Its totient is φ = 12641461862400.

The previous prime is 54162564648167. The next prime is 54162564648193. The reversal of 54162564648192 is 29184646526145.

54162564648192 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 2 + 5 + 6 + 464 + 81 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54162564648193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 558376955088 + ... + 558376955184.

Almost surely, 2^{54162564648192} is an apocalyptic number.

54162564648192 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 54162564648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114024481132800).

54162564648192 is an abundant number, since it is smaller than the sum of its proper divisors (173886397617408).

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

54162564648192 is an equidigital number, since it uses as much as digits as its factorization.

54162564648192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 194 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 54162564648192 in words is "fifty-four trillion, one hundred sixty-two billion, five hundred sixty-four million, six hundred forty-eight thousand, one hundred ninety-two".