54180000468 has 192 divisors, whose sum is σ = 161595571200. Its totient is φ = 15525717120.

The previous prime is 54180000461. The next prime is 54180000509. The reversal of 54180000468 is 86400008145.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54180000461) 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 63 ways as a sum of consecutive naturals, for example, 14511930 + ... + 14515662.

It is an arithmetic number, because the mean of its divisors is an integer number (841643600).

Almost surely, 2^54180000468 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 54180000468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80797785600).

54180000468 is an abundant number, since it is smaller than the sum of its proper divisors (107415570732).

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

54180000468 is a wasteful number, since it uses less digits than its factorization.

54180000468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 54180000468 in words is "fifty-four billion, one hundred eighty million, four hundred sixty-eight", and thus it is an aban number.